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Finding the Fourth Proportional to 508.80, 701.28 and 491.04

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Solution

The fourth proportional to 508.80, 701.28 and 491.04 is: 676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.80 : 701.28 = 491.04 : x
  2. Step 2: Convert to fraction form
    508.80/701.28 = 491.04/x
  3. Step 3: Cross multiply
    508.80x = 701.28 × 491.04
  4. Step 4: Simplify right side
    508.80x = 344,356.53
  5. Step 5: Solve for x
    x = 344,356.53/508.80
  6. Step 6: Final answer
    x = 676.80

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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.