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Finding the Fourth Proportional to 765.92, 1,143.33 and 708.81

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Solution

The fourth proportional to 765.92, 1,143.33 and 708.81 is: 1,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.92 : 1,143.33 = 708.81 : x
  2. Step 2: Convert to fraction form
    765.92/1,143.33 = 708.81/x
  3. Step 3: Cross multiply
    765.92x = 1,143.33 × 708.81
  4. Step 4: Simplify right side
    765.92x = 810,403.74
  5. Step 5: Solve for x
    x = 810,403.74/765.92
  6. Step 6: Final answer
    x = 1,058.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.