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Finding the Fourth Proportional to 1,078.86, 1,616.85 and 493.92

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Solution

The fourth proportional to 1,078.86, 1,616.85 and 493.92 is: 740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.86 : 1,616.85 = 493.92 : x
  2. Step 2: Convert to fraction form
    1,078.86/1,616.85 = 493.92/x
  3. Step 3: Cross multiply
    1,078.86x = 1,616.85 × 493.92
  4. Step 4: Simplify right side
    1,078.86x = 798,594.55
  5. Step 5: Solve for x
    x = 798,594.55/1,078.86
  6. Step 6: Final answer
    x = 740.22

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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.