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Finding the Fourth Proportional to 731.13, 1,009.51 and 451.75

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Solution

The fourth proportional to 731.13, 1,009.51 and 451.75 is: 623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.13 : 1,009.51 = 451.75 : x
  2. Step 2: Convert to fraction form
    731.13/1,009.51 = 451.75/x
  3. Step 3: Cross multiply
    731.13x = 1,009.51 × 451.75
  4. Step 4: Simplify right side
    731.13x = 456,046.14
  5. Step 5: Solve for x
    x = 456,046.14/731.13
  6. Step 6: Final answer
    x = 623.76

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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.