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Finding the Fourth Proportional to 753.93, 1,042.07 and 695.61

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Solution

The fourth proportional to 753.93, 1,042.07 and 695.61 is: 961.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.93 : 1,042.07 = 695.61 : x
  2. Step 2: Convert to fraction form
    753.93/1,042.07 = 695.61/x
  3. Step 3: Cross multiply
    753.93x = 1,042.07 × 695.61
  4. Step 4: Simplify right side
    753.93x = 724,870.83
  5. Step 5: Solve for x
    x = 724,870.83/753.93
  6. Step 6: Final answer
    x = 961.46

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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.