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Finding the Fourth Proportional to 1,042.87, 1,439.13 and 588.67

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Solution

The fourth proportional to 1,042.87, 1,439.13 and 588.67 is: 812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.87 : 1,439.13 = 588.67 : x
  2. Step 2: Convert to fraction form
    1,042.87/1,439.13 = 588.67/x
  3. Step 3: Cross multiply
    1,042.87x = 1,439.13 × 588.67
  4. Step 4: Simplify right side
    1,042.87x = 847,166.93
  5. Step 5: Solve for x
    x = 847,166.93/1,042.87
  6. Step 6: Final answer
    x = 812.34

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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.