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Finding the Fourth Proportional to 920.89, 1,271.91 and 724.15

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Solution

The fourth proportional to 920.89, 1,271.91 and 724.15 is: 1,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.89 : 1,271.91 = 724.15 : x
  2. Step 2: Convert to fraction form
    920.89/1,271.91 = 724.15/x
  3. Step 3: Cross multiply
    920.89x = 1,271.91 × 724.15
  4. Step 4: Simplify right side
    920.89x = 921,053.63
  5. Step 5: Solve for x
    x = 921,053.63/920.89
  6. Step 6: Final answer
    x = 1,000.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.