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Finding the Fourth Proportional to 723.60, 1,084.45 and 291.06

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Solution

The fourth proportional to 723.60, 1,084.45 and 291.06 is: 436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.60 : 1,084.45 = 291.06 : x
  2. Step 2: Convert to fraction form
    723.60/1,084.45 = 291.06/x
  3. Step 3: Cross multiply
    723.60x = 1,084.45 × 291.06
  4. Step 4: Simplify right side
    723.60x = 315,640.02
  5. Step 5: Solve for x
    x = 315,640.02/723.60
  6. Step 6: Final answer
    x = 436.21

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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.