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Finding the Fourth Proportional to 580.57, 870.78 and 147.69

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Solution

The fourth proportional to 580.57, 870.78 and 147.69 is: 221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.57 : 870.78 = 147.69 : x
  2. Step 2: Convert to fraction form
    580.57/870.78 = 147.69/x
  3. Step 3: Cross multiply
    580.57x = 870.78 × 147.69
  4. Step 4: Simplify right side
    580.57x = 128,605.50
  5. Step 5: Solve for x
    x = 128,605.50/580.57
  6. Step 6: Final answer
    x = 221.52

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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.