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Finding the Fourth Proportional to 977.18, 1,348.63 and 557.43

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Solution

The fourth proportional to 977.18, 1,348.63 and 557.43 is: 769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.18 : 1,348.63 = 557.43 : x
  2. Step 2: Convert to fraction form
    977.18/1,348.63 = 557.43/x
  3. Step 3: Cross multiply
    977.18x = 1,348.63 × 557.43
  4. Step 4: Simplify right side
    977.18x = 751,769.20
  5. Step 5: Solve for x
    x = 751,769.20/977.18
  6. Step 6: Final answer
    x = 769.33

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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.