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Finding the Fourth Proportional to 1,032.39, 1,545.12 and 723.51

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Solution

The fourth proportional to 1,032.39, 1,545.12 and 723.51 is: 1,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.39 : 1,545.12 = 723.51 : x
  2. Step 2: Convert to fraction form
    1,032.39/1,545.12 = 723.51/x
  3. Step 3: Cross multiply
    1,032.39x = 1,545.12 × 723.51
  4. Step 4: Simplify right side
    1,032.39x = 1,117,909.77
  5. Step 5: Solve for x
    x = 1,117,909.77/1,032.39
  6. Step 6: Final answer
    x = 1,082.84

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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.