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Finding the Fourth Proportional to 657.41, 901.32 and 645.71

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Solution

The fourth proportional to 657.41, 901.32 and 645.71 is: 885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.41 : 901.32 = 645.71 : x
  2. Step 2: Convert to fraction form
    657.41/901.32 = 645.71/x
  3. Step 3: Cross multiply
    657.41x = 901.32 × 645.71
  4. Step 4: Simplify right side
    657.41x = 581,986.83
  5. Step 5: Solve for x
    x = 581,986.83/657.41
  6. Step 6: Final answer
    x = 885.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.