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Finding the Fourth Proportional to 617.68, 851.07 and 442.72

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Solution

The fourth proportional to 617.68, 851.07 and 442.72 is: 610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.68 : 851.07 = 442.72 : x
  2. Step 2: Convert to fraction form
    617.68/851.07 = 442.72/x
  3. Step 3: Cross multiply
    617.68x = 851.07 × 442.72
  4. Step 4: Simplify right side
    617.68x = 376,785.71
  5. Step 5: Solve for x
    x = 376,785.71/617.68
  6. Step 6: Final answer
    x = 610.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.