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Finding the Fourth Proportional to 580.40, 868.86 and 374.56

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Solution

The fourth proportional to 580.40, 868.86 and 374.56 is: 560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.40 : 868.86 = 374.56 : x
  2. Step 2: Convert to fraction form
    580.40/868.86 = 374.56/x
  3. Step 3: Cross multiply
    580.40x = 868.86 × 374.56
  4. Step 4: Simplify right side
    580.40x = 325,440.20
  5. Step 5: Solve for x
    x = 325,440.20/580.40
  6. Step 6: Final answer
    x = 560.72

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1.5x scale

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.