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Finding the Fourth Proportional to 617.61, 924.40 and 339.54

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Solution

The fourth proportional to 617.61, 924.40 and 339.54 is: 508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.61 : 924.40 = 339.54 : x
  2. Step 2: Convert to fraction form
    617.61/924.40 = 339.54/x
  3. Step 3: Cross multiply
    617.61x = 924.40 × 339.54
  4. Step 4: Simplify right side
    617.61x = 313,870.78
  5. Step 5: Solve for x
    x = 313,870.78/617.61
  6. Step 6: Final answer
    x = 508.20

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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.