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Finding the Fourth Proportional to 834.02, 1,149.96 and 568.18

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Solution

The fourth proportional to 834.02, 1,149.96 and 568.18 is: 783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.02 : 1,149.96 = 568.18 : x
  2. Step 2: Convert to fraction form
    834.02/1,149.96 = 568.18/x
  3. Step 3: Cross multiply
    834.02x = 1,149.96 × 568.18
  4. Step 4: Simplify right side
    834.02x = 653,384.27
  5. Step 5: Solve for x
    x = 653,384.27/834.02
  6. Step 6: Final answer
    x = 783.42

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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.