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Finding the Fourth Proportional to 580.34, 874.84 and 531.08

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Solution

The fourth proportional to 580.34, 874.84 and 531.08 is: 800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.34 : 874.84 = 531.08 : x
  2. Step 2: Convert to fraction form
    580.34/874.84 = 531.08/x
  3. Step 3: Cross multiply
    580.34x = 874.84 × 531.08
  4. Step 4: Simplify right side
    580.34x = 464,609.60
  5. Step 5: Solve for x
    x = 464,609.60/580.34
  6. Step 6: Final answer
    x = 800.59

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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.