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Finding the Fourth Proportional to 766.60, 1,142.45 and 750.22

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Solution

The fourth proportional to 766.60, 1,142.45 and 750.22 is: 1,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.60 : 1,142.45 = 750.22 : x
  2. Step 2: Convert to fraction form
    766.60/1,142.45 = 750.22/x
  3. Step 3: Cross multiply
    766.60x = 1,142.45 × 750.22
  4. Step 4: Simplify right side
    766.60x = 857,088.84
  5. Step 5: Solve for x
    x = 857,088.84/766.60
  6. Step 6: Final answer
    x = 1,118.04

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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.