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Finding the Fourth Proportional to 580.59, 870.27 and 288.18

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Solution

The fourth proportional to 580.59, 870.27 and 288.18 is: 431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.59 : 870.27 = 288.18 : x
  2. Step 2: Convert to fraction form
    580.59/870.27 = 288.18/x
  3. Step 3: Cross multiply
    580.59x = 870.27 × 288.18
  4. Step 4: Simplify right side
    580.59x = 250,794.41
  5. Step 5: Solve for x
    x = 250,794.41/580.59
  6. Step 6: Final answer
    x = 431.96

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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.