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Finding the Fourth Proportional to 766.11, 1,057.17 and 434.58

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Solution

The fourth proportional to 766.11, 1,057.17 and 434.58 is: 599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.11 : 1,057.17 = 434.58 : x
  2. Step 2: Convert to fraction form
    766.11/1,057.17 = 434.58/x
  3. Step 3: Cross multiply
    766.11x = 1,057.17 × 434.58
  4. Step 4: Simplify right side
    766.11x = 459,424.94
  5. Step 5: Solve for x
    x = 459,424.94/766.11
  6. Step 6: Final answer
    x = 599.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.