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Finding the Fourth Proportional to 766.64, 1,148.13 and 522.42

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Solution

The fourth proportional to 766.64, 1,148.13 and 522.42 is: 782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.64 : 1,148.13 = 522.42 : x
  2. Step 2: Convert to fraction form
    766.64/1,148.13 = 522.42/x
  3. Step 3: Cross multiply
    766.64x = 1,148.13 × 522.42
  4. Step 4: Simplify right side
    766.64x = 599,806.07
  5. Step 5: Solve for x
    x = 599,806.07/766.64
  6. Step 6: Final answer
    x = 782.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.