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Finding the Fourth Proportional to 580.86, 870.60 and 321.02

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Solution

The fourth proportional to 580.86, 870.60 and 321.02 is: 481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.86 : 870.60 = 321.02 : x
  2. Step 2: Convert to fraction form
    580.86/870.60 = 321.02/x
  3. Step 3: Cross multiply
    580.86x = 870.60 × 321.02
  4. Step 4: Simplify right side
    580.86x = 279,475.66
  5. Step 5: Solve for x
    x = 279,475.66/580.86
  6. Step 6: Final answer
    x = 481.14

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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.