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Finding the Fourth Proportional to 580.50, 875.12 and 571.86

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Solution

The fourth proportional to 580.50, 875.12 and 571.86 is: 862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.50 : 875.12 = 571.86 : x
  2. Step 2: Convert to fraction form
    580.50/875.12 = 571.86/x
  3. Step 3: Cross multiply
    580.50x = 875.12 × 571.86
  4. Step 4: Simplify right side
    580.50x = 500,443.26
  5. Step 5: Solve for x
    x = 500,443.26/580.50
  6. Step 6: Final answer
    x = 862.09

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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.