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Finding the Fourth Proportional to 691.86, 1,035.24 and 486.96

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Solution

The fourth proportional to 691.86, 1,035.24 and 486.96 is: 728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.86 : 1,035.24 = 486.96 : x
  2. Step 2: Convert to fraction form
    691.86/1,035.24 = 486.96/x
  3. Step 3: Cross multiply
    691.86x = 1,035.24 × 486.96
  4. Step 4: Simplify right side
    691.86x = 504,120.47
  5. Step 5: Solve for x
    x = 504,120.47/691.86
  6. Step 6: Final answer
    x = 728.65

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Why These Related Problems?

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