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Finding the Fourth Proportional to 754.71, 1,042.16 and 730.23

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Solution

The fourth proportional to 754.71, 1,042.16 and 730.23 is: 1,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.71 : 1,042.16 = 730.23 : x
  2. Step 2: Convert to fraction form
    754.71/1,042.16 = 730.23/x
  3. Step 3: Cross multiply
    754.71x = 1,042.16 × 730.23
  4. Step 4: Simplify right side
    754.71x = 761,012.85
  5. Step 5: Solve for x
    x = 761,012.85/754.71
  6. Step 6: Final answer
    x = 1,008.35

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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.