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Finding the Fourth Proportional to 580.17, 870.23 and 147.32

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Solution

The fourth proportional to 580.17, 870.23 and 147.32 is: 220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.17 : 870.23 = 147.32 : x
  2. Step 2: Convert to fraction form
    580.17/870.23 = 147.32/x
  3. Step 3: Cross multiply
    580.17x = 870.23 × 147.32
  4. Step 4: Simplify right side
    580.17x = 128,198.30
  5. Step 5: Solve for x
    x = 128,198.30/580.17
  6. Step 6: Final answer
    x = 220.97

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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.