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Finding the Fourth Proportional to 617.56, 923.51 and 461.49

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Solution

The fourth proportional to 617.56, 923.51 and 461.49 is: 690.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.56 : 923.51 = 461.49 : x
  2. Step 2: Convert to fraction form
    617.56/923.51 = 461.49/x
  3. Step 3: Cross multiply
    617.56x = 923.51 × 461.49
  4. Step 4: Simplify right side
    617.56x = 426,186.01
  5. Step 5: Solve for x
    x = 426,186.01/617.56
  6. Step 6: Final answer
    x = 690.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.