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Finding the Fourth Proportional to 617.75, 921.38 and 520.89

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Solution

The fourth proportional to 617.75, 921.38 and 520.89 is: 776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.75 : 921.38 = 520.89 : x
  2. Step 2: Convert to fraction form
    617.75/921.38 = 520.89/x
  3. Step 3: Cross multiply
    617.75x = 921.38 × 520.89
  4. Step 4: Simplify right side
    617.75x = 479,937.63
  5. Step 5: Solve for x
    x = 479,937.63/617.75
  6. Step 6: Final answer
    x = 776.91

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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.