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Finding the Fourth Proportional to 753.35, 1,129.30 and 406.17

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Solution

The fourth proportional to 753.35, 1,129.30 and 406.17 is: 608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.35 : 1,129.30 = 406.17 : x
  2. Step 2: Convert to fraction form
    753.35/1,129.30 = 406.17/x
  3. Step 3: Cross multiply
    753.35x = 1,129.30 × 406.17
  4. Step 4: Simplify right side
    753.35x = 458,686.77
  5. Step 5: Solve for x
    x = 458,686.77/753.35
  6. Step 6: Final answer
    x = 608.87

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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.