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Finding the Fourth Proportional to 767.76, 1,146.63 and 613.92

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Solution

The fourth proportional to 767.76, 1,146.63 and 613.92 is: 916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.76 : 1,146.63 = 613.92 : x
  2. Step 2: Convert to fraction form
    767.76/1,146.63 = 613.92/x
  3. Step 3: Cross multiply
    767.76x = 1,146.63 × 613.92
  4. Step 4: Simplify right side
    767.76x = 703,939.09
  5. Step 5: Solve for x
    x = 703,939.09/767.76
  6. Step 6: Final answer
    x = 916.87

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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.