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Finding the Fourth Proportional to 558.60, 836.46 and 542.18

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Solution

The fourth proportional to 558.60, 836.46 and 542.18 is: 811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.60 : 836.46 = 542.18 : x
  2. Step 2: Convert to fraction form
    558.60/836.46 = 542.18/x
  3. Step 3: Cross multiply
    558.60x = 836.46 × 542.18
  4. Step 4: Simplify right side
    558.60x = 453,509.27
  5. Step 5: Solve for x
    x = 453,509.27/558.60
  6. Step 6: Final answer
    x = 811.87

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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.