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Finding the Fourth Proportional to 724.06, 1,079.98 and 607.14

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Solution

The fourth proportional to 724.06, 1,079.98 and 607.14 is: 905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.06 : 1,079.98 = 607.14 : x
  2. Step 2: Convert to fraction form
    724.06/1,079.98 = 607.14/x
  3. Step 3: Cross multiply
    724.06x = 1,079.98 × 607.14
  4. Step 4: Simplify right side
    724.06x = 655,699.06
  5. Step 5: Solve for x
    x = 655,699.06/724.06
  6. Step 6: Final answer
    x = 905.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.