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Finding the Fourth Proportional to 580.18, 870.24 and 336.55

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Solution

The fourth proportional to 580.18, 870.24 and 336.55 is: 504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.18 : 870.24 = 336.55 : x
  2. Step 2: Convert to fraction form
    580.18/870.24 = 336.55/x
  3. Step 3: Cross multiply
    580.18x = 870.24 × 336.55
  4. Step 4: Simplify right side
    580.18x = 292,879.27
  5. Step 5: Solve for x
    x = 292,879.27/580.18
  6. Step 6: Final answer
    x = 504.81

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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.