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Finding the Fourth Proportional to 1,582.56, 2,373.88 and 542.56

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Solution

The fourth proportional to 1,582.56, 2,373.88 and 542.56 is: 813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.56 : 2,373.88 = 542.56 : x
  2. Step 2: Convert to fraction form
    1,582.56/2,373.88 = 542.56/x
  3. Step 3: Cross multiply
    1,582.56x = 2,373.88 × 542.56
  4. Step 4: Simplify right side
    1,582.56x = 1,287,970.98
  5. Step 5: Solve for x
    x = 1,287,970.98/1,582.56
  6. Step 6: Final answer
    x = 813.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.