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Finding the Fourth Proportional to 767.86, 1,151.99 and 585.61

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Solution

The fourth proportional to 767.86, 1,151.99 and 585.61 is: 878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.86 : 1,151.99 = 585.61 : x
  2. Step 2: Convert to fraction form
    767.86/1,151.99 = 585.61/x
  3. Step 3: Cross multiply
    767.86x = 1,151.99 × 585.61
  4. Step 4: Simplify right side
    767.86x = 674,616.86
  5. Step 5: Solve for x
    x = 674,616.86/767.86
  6. Step 6: Final answer
    x = 878.57

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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.