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Finding the Fourth Proportional to 657.64, 907.36 and 395.61

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Solution

The fourth proportional to 657.64, 907.36 and 395.61 is: 545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.64 : 907.36 = 395.61 : x
  2. Step 2: Convert to fraction form
    657.64/907.36 = 395.61/x
  3. Step 3: Cross multiply
    657.64x = 907.36 × 395.61
  4. Step 4: Simplify right side
    657.64x = 358,960.69
  5. Step 5: Solve for x
    x = 358,960.69/657.64
  6. Step 6: Final answer
    x = 545.83

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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.