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Finding the Fourth Proportional to 559.78, 772.59 and 515.86

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Solution

The fourth proportional to 559.78, 772.59 and 515.86 is: 711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.78 : 772.59 = 515.86 : x
  2. Step 2: Convert to fraction form
    559.78/772.59 = 515.86/x
  3. Step 3: Cross multiply
    559.78x = 772.59 × 515.86
  4. Step 4: Simplify right side
    559.78x = 398,548.28
  5. Step 5: Solve for x
    x = 398,548.28/559.78
  6. Step 6: Final answer
    x = 711.97

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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.