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Finding the Fourth Proportional to 753.04, 1,129.62 and 387.60

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Solution

The fourth proportional to 753.04, 1,129.62 and 387.60 is: 581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.04 : 1,129.62 = 387.60 : x
  2. Step 2: Convert to fraction form
    753.04/1,129.62 = 387.60/x
  3. Step 3: Cross multiply
    753.04x = 1,129.62 × 387.60
  4. Step 4: Simplify right side
    753.04x = 437,840.71
  5. Step 5: Solve for x
    x = 437,840.71/753.04
  6. Step 6: Final answer
    x = 581.43

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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.