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Finding the Fourth Proportional to 1,120.14, 1,678.77 and 542.70

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Solution

The fourth proportional to 1,120.14, 1,678.77 and 542.70 is: 813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.14 : 1,678.77 = 542.70 : x
  2. Step 2: Convert to fraction form
    1,120.14/1,678.77 = 542.70/x
  3. Step 3: Cross multiply
    1,120.14x = 1,678.77 × 542.70
  4. Step 4: Simplify right side
    1,120.14x = 911,068.48
  5. Step 5: Solve for x
    x = 911,068.48/1,120.14
  6. Step 6: Final answer
    x = 813.35

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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.