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Finding the Fourth Proportional to 617.70, 922.93 and 596.17

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Solution

The fourth proportional to 617.70, 922.93 and 596.17 is: 890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.70 : 922.93 = 596.17 : x
  2. Step 2: Convert to fraction form
    617.70/922.93 = 596.17/x
  3. Step 3: Cross multiply
    617.70x = 922.93 × 596.17
  4. Step 4: Simplify right side
    617.70x = 550,223.18
  5. Step 5: Solve for x
    x = 550,223.18/617.70
  6. Step 6: Final answer
    x = 890.76

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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.