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Finding the Fourth Proportional to 897.67, 1,345.69 and 463.51

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Solution

The fourth proportional to 897.67, 1,345.69 and 463.51 is: 694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.67 : 1,345.69 = 463.51 : x
  2. Step 2: Convert to fraction form
    897.67/1,345.69 = 463.51/x
  3. Step 3: Cross multiply
    897.67x = 1,345.69 × 463.51
  4. Step 4: Simplify right side
    897.67x = 623,740.77
  5. Step 5: Solve for x
    x = 623,740.77/897.67
  6. Step 6: Final answer
    x = 694.84

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Double scale
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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.