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Finding the Fourth Proportional to 580.80, 874.70 and 548.40

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Solution

The fourth proportional to 580.80, 874.70 and 548.40 is: 825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.80 : 874.70 = 548.40 : x
  2. Step 2: Convert to fraction form
    580.80/874.70 = 548.40/x
  3. Step 3: Cross multiply
    580.80x = 874.70 × 548.40
  4. Step 4: Simplify right side
    580.80x = 479,685.48
  5. Step 5: Solve for x
    x = 479,685.48/580.80
  6. Step 6: Final answer
    x = 825.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.