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Finding the Fourth Proportional to 657.16, 906.21 and 395.33

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Solution

The fourth proportional to 657.16, 906.21 and 395.33 is: 545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.16 : 906.21 = 395.33 : x
  2. Step 2: Convert to fraction form
    657.16/906.21 = 395.33/x
  3. Step 3: Cross multiply
    657.16x = 906.21 × 395.33
  4. Step 4: Simplify right side
    657.16x = 358,247.47
  5. Step 5: Solve for x
    x = 358,247.47/657.16
  6. Step 6: Final answer
    x = 545.15

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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.