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Finding the Fourth Proportional to 977.20, 1,348.32 and 557.39

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Solution

The fourth proportional to 977.20, 1,348.32 and 557.39 is: 769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.20 : 1,348.32 = 557.39 : x
  2. Step 2: Convert to fraction form
    977.20/1,348.32 = 557.39/x
  3. Step 3: Cross multiply
    977.20x = 1,348.32 × 557.39
  4. Step 4: Simplify right side
    977.20x = 751,540.19
  5. Step 5: Solve for x
    x = 751,540.19/977.20
  6. Step 6: Final answer
    x = 769.08

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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.