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Finding the Fourth Proportional to 827.62, 1,240.68 and 314.98

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Solution

The fourth proportional to 827.62, 1,240.68 and 314.98 is: 472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.62 : 1,240.68 = 314.98 : x
  2. Step 2: Convert to fraction form
    827.62/1,240.68 = 314.98/x
  3. Step 3: Cross multiply
    827.62x = 1,240.68 × 314.98
  4. Step 4: Simplify right side
    827.62x = 390,789.39
  5. Step 5: Solve for x
    x = 390,789.39/827.62
  6. Step 6: Final answer
    x = 472.18

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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.