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Finding the Fourth Proportional to 698.54, 964.12 and 462.50

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Solution

The fourth proportional to 698.54, 964.12 and 462.50 is: 638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.54 : 964.12 = 462.50 : x
  2. Step 2: Convert to fraction form
    698.54/964.12 = 462.50/x
  3. Step 3: Cross multiply
    698.54x = 964.12 × 462.50
  4. Step 4: Simplify right side
    698.54x = 445,900.68
  5. Step 5: Solve for x
    x = 445,900.68/698.54
  6. Step 6: Final answer
    x = 638.33

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.