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Finding the Fourth Proportional to 657.31, 907.06 and 362.57

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Solution

The fourth proportional to 657.31, 907.06 and 362.57 is: 500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.31 : 907.06 = 362.57 : x
  2. Step 2: Convert to fraction form
    657.31/907.06 = 362.57/x
  3. Step 3: Cross multiply
    657.31x = 907.06 × 362.57
  4. Step 4: Simplify right side
    657.31x = 328,872.74
  5. Step 5: Solve for x
    x = 328,872.74/657.31
  6. Step 6: Final answer
    x = 500.33

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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.