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Finding the Fourth Proportional to 1,118.52, 1,543.56 and 652.77

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Solution

The fourth proportional to 1,118.52, 1,543.56 and 652.77 is: 900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.52 : 1,543.56 = 652.77 : x
  2. Step 2: Convert to fraction form
    1,118.52/1,543.56 = 652.77/x
  3. Step 3: Cross multiply
    1,118.52x = 1,543.56 × 652.77
  4. Step 4: Simplify right side
    1,118.52x = 1,007,589.66
  5. Step 5: Solve for x
    x = 1,007,589.66/1,118.52
  6. Step 6: Final answer
    x = 900.82

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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.