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Finding the Fourth Proportional to 753.80, 1,129.75 and 342.86

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Solution

The fourth proportional to 753.80, 1,129.75 and 342.86 is: 513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.80 : 1,129.75 = 342.86 : x
  2. Step 2: Convert to fraction form
    753.80/1,129.75 = 342.86/x
  3. Step 3: Cross multiply
    753.80x = 1,129.75 × 342.86
  4. Step 4: Simplify right side
    753.80x = 387,339.58
  5. Step 5: Solve for x
    x = 387,339.58/753.80
  6. Step 6: Final answer
    x = 513.85

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