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Finding the Fourth Proportional to 747.16, 1,029.86 and 686.82

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Solution

The fourth proportional to 747.16, 1,029.86 and 686.82 is: 946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.16 : 1,029.86 = 686.82 : x
  2. Step 2: Convert to fraction form
    747.16/1,029.86 = 686.82/x
  3. Step 3: Cross multiply
    747.16x = 1,029.86 × 686.82
  4. Step 4: Simplify right side
    747.16x = 707,328.45
  5. Step 5: Solve for x
    x = 707,328.45/747.16
  6. Step 6: Final answer
    x = 946.69

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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.