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Finding the Fourth Proportional to 724.02, 1,084.65 and 650.10

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Solution

The fourth proportional to 724.02, 1,084.65 and 650.10 is: 973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.02 : 1,084.65 = 650.10 : x
  2. Step 2: Convert to fraction form
    724.02/1,084.65 = 650.10/x
  3. Step 3: Cross multiply
    724.02x = 1,084.65 × 650.10
  4. Step 4: Simplify right side
    724.02x = 705,130.97
  5. Step 5: Solve for x
    x = 705,130.97/724.02
  6. Step 6: Final answer
    x = 973.91

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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.