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Finding the Fourth Proportional to 875.47, 1,311.98 and 723.23

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Solution

The fourth proportional to 875.47, 1,311.98 and 723.23 is: 1,083.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.47 : 1,311.98 = 723.23 : x
  2. Step 2: Convert to fraction form
    875.47/1,311.98 = 723.23/x
  3. Step 3: Cross multiply
    875.47x = 1,311.98 × 723.23
  4. Step 4: Simplify right side
    875.47x = 948,865.16
  5. Step 5: Solve for x
    x = 948,865.16/875.47
  6. Step 6: Final answer
    x = 1,083.83

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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.