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Finding the Fourth Proportional to 657.13, 906.85 and 395.10

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Solution

The fourth proportional to 657.13, 906.85 and 395.10 is: 545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.13 : 906.85 = 395.10 : x
  2. Step 2: Convert to fraction form
    657.13/906.85 = 395.10/x
  3. Step 3: Cross multiply
    657.13x = 906.85 × 395.10
  4. Step 4: Simplify right side
    657.13x = 358,289.93
  5. Step 5: Solve for x
    x = 358,289.93/657.13
  6. Step 6: Final answer
    x = 545.23

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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.