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Finding the Fourth Proportional to 766.55, 1,149.83 and 402.05

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Solution

The fourth proportional to 766.55, 1,149.83 and 402.05 is: 603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.55 : 1,149.83 = 402.05 : x
  2. Step 2: Convert to fraction form
    766.55/1,149.83 = 402.05/x
  3. Step 3: Cross multiply
    766.55x = 1,149.83 × 402.05
  4. Step 4: Simplify right side
    766.55x = 462,284.41
  5. Step 5: Solve for x
    x = 462,284.41/766.55
  6. Step 6: Final answer
    x = 603.08

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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.