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Finding the Fourth Proportional to 1,328.67, 1,993.01 and 462.51

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Solution

The fourth proportional to 1,328.67, 1,993.01 and 462.51 is: 693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.67 : 1,993.01 = 462.51 : x
  2. Step 2: Convert to fraction form
    1,328.67/1,993.01 = 462.51/x
  3. Step 3: Cross multiply
    1,328.67x = 1,993.01 × 462.51
  4. Step 4: Simplify right side
    1,328.67x = 921,784.74
  5. Step 5: Solve for x
    x = 921,784.74/1,328.67
  6. Step 6: Final answer
    x = 693.77

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.