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Finding the Fourth Proportional to 924.90, 1,387.71 and 822.96

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Solution

The fourth proportional to 924.90, 1,387.71 and 822.96 is: 1,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.90 : 1,387.71 = 822.96 : x
  2. Step 2: Convert to fraction form
    924.90/1,387.71 = 822.96/x
  3. Step 3: Cross multiply
    924.90x = 1,387.71 × 822.96
  4. Step 4: Simplify right side
    924.90x = 1,142,029.82
  5. Step 5: Solve for x
    x = 1,142,029.82/924.90
  6. Step 6: Final answer
    x = 1,234.76

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