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Finding the Fourth Proportional to 617.42, 922.02 and 581.42

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Solution

The fourth proportional to 617.42, 922.02 and 581.42 is: 868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.42 : 922.02 = 581.42 : x
  2. Step 2: Convert to fraction form
    617.42/922.02 = 581.42/x
  3. Step 3: Cross multiply
    617.42x = 922.02 × 581.42
  4. Step 4: Simplify right side
    617.42x = 536,080.87
  5. Step 5: Solve for x
    x = 536,080.87/617.42
  6. Step 6: Final answer
    x = 868.26

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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.