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Finding the Fourth Proportional to 617.77, 924.31 and 344.08

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Solution

The fourth proportional to 617.77, 924.31 and 344.08 is: 514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.77 : 924.31 = 344.08 : x
  2. Step 2: Convert to fraction form
    617.77/924.31 = 344.08/x
  3. Step 3: Cross multiply
    617.77x = 924.31 × 344.08
  4. Step 4: Simplify right side
    617.77x = 318,036.58
  5. Step 5: Solve for x
    x = 318,036.58/617.77
  6. Step 6: Final answer
    x = 514.81

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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.