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Finding the Fourth Proportional to 617.34, 922.20 and 495.84

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Solution

The fourth proportional to 617.34, 922.20 and 495.84 is: 740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.34 : 922.20 = 495.84 : x
  2. Step 2: Convert to fraction form
    617.34/922.20 = 495.84/x
  3. Step 3: Cross multiply
    617.34x = 922.20 × 495.84
  4. Step 4: Simplify right side
    617.34x = 457,263.65
  5. Step 5: Solve for x
    x = 457,263.65/617.34
  6. Step 6: Final answer
    x = 740.70

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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.