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Finding the Fourth Proportional to 617.95, 923.30 and 596.42

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Solution

The fourth proportional to 617.95, 923.30 and 596.42 is: 891.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.95 : 923.30 = 596.42 : x
  2. Step 2: Convert to fraction form
    617.95/923.30 = 596.42/x
  3. Step 3: Cross multiply
    617.95x = 923.30 × 596.42
  4. Step 4: Simplify right side
    617.95x = 550,666.99
  5. Step 5: Solve for x
    x = 550,666.99/617.95
  6. Step 6: Final answer
    x = 891.12

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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.