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Finding the Fourth Proportional to 1,023.50, 1,412.46 and 557.78

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Solution

The fourth proportional to 1,023.50, 1,412.46 and 557.78 is: 769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.50 : 1,412.46 = 557.78 : x
  2. Step 2: Convert to fraction form
    1,023.50/1,412.46 = 557.78/x
  3. Step 3: Cross multiply
    1,023.50x = 1,412.46 × 557.78
  4. Step 4: Simplify right side
    1,023.50x = 787,841.94
  5. Step 5: Solve for x
    x = 787,841.94/1,023.50
  6. Step 6: Final answer
    x = 769.75

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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.