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Finding the Fourth Proportional to 657.35, 907.41 and 395.31

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Solution

The fourth proportional to 657.35, 907.41 and 395.31 is: 545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.35 : 907.41 = 395.31 : x
  2. Step 2: Convert to fraction form
    657.35/907.41 = 395.31/x
  3. Step 3: Cross multiply
    657.35x = 907.41 × 395.31
  4. Step 4: Simplify right side
    657.35x = 358,708.25
  5. Step 5: Solve for x
    x = 358,708.25/657.35
  6. Step 6: Final answer
    x = 545.69

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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.