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Finding the Fourth Proportional to 587.18, 874.38 and 580.72

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Solution

The fourth proportional to 587.18, 874.38 and 580.72 is: 864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.18 : 874.38 = 580.72 : x
  2. Step 2: Convert to fraction form
    587.18/874.38 = 580.72/x
  3. Step 3: Cross multiply
    587.18x = 874.38 × 580.72
  4. Step 4: Simplify right side
    587.18x = 507,769.95
  5. Step 5: Solve for x
    x = 507,769.95/587.18
  6. Step 6: Final answer
    x = 864.76

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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.