Home / 1,193.10-1,787.52-542.46

Finding the Fourth Proportional to 1,193.10, 1,787.52 and 542.46

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Solution

The fourth proportional to 1,193.10, 1,787.52 and 542.46 is: 812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.10 : 1,787.52 = 542.46 : x
  2. Step 2: Convert to fraction form
    1,193.10/1,787.52 = 542.46/x
  3. Step 3: Cross multiply
    1,193.10x = 1,787.52 × 542.46
  4. Step 4: Simplify right side
    1,193.10x = 969,658.10
  5. Step 5: Solve for x
    x = 969,658.10/1,193.10
  6. Step 6: Final answer
    x = 812.72

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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.