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Finding the Fourth Proportional to 927.86, 1,281.09 and 613.40

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Solution

The fourth proportional to 927.86, 1,281.09 and 613.40 is: 846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.86 : 1,281.09 = 613.40 : x
  2. Step 2: Convert to fraction form
    927.86/1,281.09 = 613.40/x
  3. Step 3: Cross multiply
    927.86x = 1,281.09 × 613.40
  4. Step 4: Simplify right side
    927.86x = 785,820.61
  5. Step 5: Solve for x
    x = 785,820.61/927.86
  6. Step 6: Final answer
    x = 846.92

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Why These Related Problems?

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