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Finding the Fourth Proportional to 580.54, 870.57 and 397.99

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Solution

The fourth proportional to 580.54, 870.57 and 397.99 is: 596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.54 : 870.57 = 397.99 : x
  2. Step 2: Convert to fraction form
    580.54/870.57 = 397.99/x
  3. Step 3: Cross multiply
    580.54x = 870.57 × 397.99
  4. Step 4: Simplify right side
    580.54x = 346,478.15
  5. Step 5: Solve for x
    x = 346,478.15/580.54
  6. Step 6: Final answer
    x = 596.82

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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.