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Finding the Fourth Proportional to 977.60, 1,349.12 and 557.80

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Solution

The fourth proportional to 977.60, 1,349.12 and 557.80 is: 769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.60 : 1,349.12 = 557.80 : x
  2. Step 2: Convert to fraction form
    977.60/1,349.12 = 557.80/x
  3. Step 3: Cross multiply
    977.60x = 1,349.12 × 557.80
  4. Step 4: Simplify right side
    977.60x = 752,539.14
  5. Step 5: Solve for x
    x = 752,539.14/977.60
  6. Step 6: Final answer
    x = 769.78

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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.