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Finding the Fourth Proportional to 580.03, 870.30 and 287.80

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Solution

The fourth proportional to 580.03, 870.30 and 287.80 is: 431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.03 : 870.30 = 287.80 : x
  2. Step 2: Convert to fraction form
    580.03/870.30 = 287.80/x
  3. Step 3: Cross multiply
    580.03x = 870.30 × 287.80
  4. Step 4: Simplify right side
    580.03x = 250,472.34
  5. Step 5: Solve for x
    x = 250,472.34/580.03
  6. Step 6: Final answer
    x = 431.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.