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Finding the Fourth Proportional to 587.85, 811.15 and 572.10

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Solution

The fourth proportional to 587.85, 811.15 and 572.10 is: 789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.85 : 811.15 = 572.10 : x
  2. Step 2: Convert to fraction form
    587.85/811.15 = 572.10/x
  3. Step 3: Cross multiply
    587.85x = 811.15 × 572.10
  4. Step 4: Simplify right side
    587.85x = 464,058.92
  5. Step 5: Solve for x
    x = 464,058.92/587.85
  6. Step 6: Final answer
    x = 789.42

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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.