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Finding the Fourth Proportional to 766.76, 1,145.14 and 612.92

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Solution

The fourth proportional to 766.76, 1,145.14 and 612.92 is: 915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.76 : 1,145.14 = 612.92 : x
  2. Step 2: Convert to fraction form
    766.76/1,145.14 = 612.92/x
  3. Step 3: Cross multiply
    766.76x = 1,145.14 × 612.92
  4. Step 4: Simplify right side
    766.76x = 701,879.21
  5. Step 5: Solve for x
    x = 701,879.21/766.76
  6. Step 6: Final answer
    x = 915.38

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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.