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Finding the Fourth Proportional to 655.65, 980.91 and 508.28

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Solution

The fourth proportional to 655.65, 980.91 and 508.28 is: 760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.65 : 980.91 = 508.28 : x
  2. Step 2: Convert to fraction form
    655.65/980.91 = 508.28/x
  3. Step 3: Cross multiply
    655.65x = 980.91 × 508.28
  4. Step 4: Simplify right side
    655.65x = 498,572.03
  5. Step 5: Solve for x
    x = 498,572.03/655.65
  6. Step 6: Final answer
    x = 760.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.