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Finding the Fourth Proportional to 753.48, 1,129.92 and 291.04

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Solution

The fourth proportional to 753.48, 1,129.92 and 291.04 is: 436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.48 : 1,129.92 = 291.04 : x
  2. Step 2: Convert to fraction form
    753.48/1,129.92 = 291.04/x
  3. Step 3: Cross multiply
    753.48x = 1,129.92 × 291.04
  4. Step 4: Simplify right side
    753.48x = 328,848.00
  5. Step 5: Solve for x
    x = 328,848.00/753.48
  6. Step 6: Final answer
    x = 436.44

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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.