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Finding the Fourth Proportional to 656.92, 906.53 and 358.15

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Solution

The fourth proportional to 656.92, 906.53 and 358.15 is: 494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.92 : 906.53 = 358.15 : x
  2. Step 2: Convert to fraction form
    656.92/906.53 = 358.15/x
  3. Step 3: Cross multiply
    656.92x = 906.53 × 358.15
  4. Step 4: Simplify right side
    656.92x = 324,673.72
  5. Step 5: Solve for x
    x = 324,673.72/656.92
  6. Step 6: Final answer
    x = 494.24

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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.