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Finding the Fourth Proportional to 580.90, 870.63 and 288.09

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Solution

The fourth proportional to 580.90, 870.63 and 288.09 is: 431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.90 : 870.63 = 288.09 : x
  2. Step 2: Convert to fraction form
    580.90/870.63 = 288.09/x
  3. Step 3: Cross multiply
    580.90x = 870.63 × 288.09
  4. Step 4: Simplify right side
    580.90x = 250,819.80
  5. Step 5: Solve for x
    x = 250,819.80/580.90
  6. Step 6: Final answer
    x = 431.78

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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.