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Finding the Fourth Proportional to 657.29, 907.16 and 433.19

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Solution

The fourth proportional to 657.29, 907.16 and 433.19 is: 597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.29 : 907.16 = 433.19 : x
  2. Step 2: Convert to fraction form
    657.29/907.16 = 433.19/x
  3. Step 3: Cross multiply
    657.29x = 907.16 × 433.19
  4. Step 4: Simplify right side
    657.29x = 392,975.18
  5. Step 5: Solve for x
    x = 392,975.18/657.29
  6. Step 6: Final answer
    x = 597.87

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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.