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Finding the Fourth Proportional to 656.20, 906.08 and 508.58

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Solution

The fourth proportional to 656.20, 906.08 and 508.58 is: 702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.20 : 906.08 = 508.58 : x
  2. Step 2: Convert to fraction form
    656.20/906.08 = 508.58/x
  3. Step 3: Cross multiply
    656.20x = 906.08 × 508.58
  4. Step 4: Simplify right side
    656.20x = 460,807.09
  5. Step 5: Solve for x
    x = 460,807.09/656.20
  6. Step 6: Final answer
    x = 702.24

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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.