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Finding the Fourth Proportional to 559.86, 836.46 and 540.72

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Solution

The fourth proportional to 559.86, 836.46 and 540.72 is: 807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.86 : 836.46 = 540.72 : x
  2. Step 2: Convert to fraction form
    559.86/836.46 = 540.72/x
  3. Step 3: Cross multiply
    559.86x = 836.46 × 540.72
  4. Step 4: Simplify right side
    559.86x = 452,290.65
  5. Step 5: Solve for x
    x = 452,290.65/559.86
  6. Step 6: Final answer
    x = 807.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.