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Finding the Fourth Proportional to 587.89, 886.16 and 538.59

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Solution

The fourth proportional to 587.89, 886.16 and 538.59 is: 811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.89 : 886.16 = 538.59 : x
  2. Step 2: Convert to fraction form
    587.89/886.16 = 538.59/x
  3. Step 3: Cross multiply
    587.89x = 886.16 × 538.59
  4. Step 4: Simplify right side
    587.89x = 477,276.91
  5. Step 5: Solve for x
    x = 477,276.91/587.89
  6. Step 6: Final answer
    x = 811.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.