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Finding the Fourth Proportional to 753.12, 1,129.08 and 533.88

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Solution

The fourth proportional to 753.12, 1,129.08 and 533.88 is: 800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.12 : 1,129.08 = 533.88 : x
  2. Step 2: Convert to fraction form
    753.12/1,129.08 = 533.88/x
  3. Step 3: Cross multiply
    753.12x = 1,129.08 × 533.88
  4. Step 4: Simplify right side
    753.12x = 602,793.23
  5. Step 5: Solve for x
    x = 602,793.23/753.12
  6. Step 6: Final answer
    x = 800.39

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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.