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Finding the Fourth Proportional to 580.18, 870.42 and 169.35

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Solution

The fourth proportional to 580.18, 870.42 and 169.35 is: 254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.18 : 870.42 = 169.35 : x
  2. Step 2: Convert to fraction form
    580.18/870.42 = 169.35/x
  3. Step 3: Cross multiply
    580.18x = 870.42 × 169.35
  4. Step 4: Simplify right side
    580.18x = 147,401.27
  5. Step 5: Solve for x
    x = 147,401.27/580.18
  6. Step 6: Final answer
    x = 254.06

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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.