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Finding the Fourth Proportional to 657.34, 907.18 and 377.61

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Solution

The fourth proportional to 657.34, 907.18 and 377.61 is: 521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.34 : 907.18 = 377.61 : x
  2. Step 2: Convert to fraction form
    657.34/907.18 = 377.61/x
  3. Step 3: Cross multiply
    657.34x = 907.18 × 377.61
  4. Step 4: Simplify right side
    657.34x = 342,555.70
  5. Step 5: Solve for x
    x = 342,555.70/657.34
  6. Step 6: Final answer
    x = 521.13

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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.