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Finding the Fourth Proportional to 580.70, 864.28 and 578.90

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Solution

The fourth proportional to 580.70, 864.28 and 578.90 is: 861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.70 : 864.28 = 578.90 : x
  2. Step 2: Convert to fraction form
    580.70/864.28 = 578.90/x
  3. Step 3: Cross multiply
    580.70x = 864.28 × 578.90
  4. Step 4: Simplify right side
    580.70x = 500,331.69
  5. Step 5: Solve for x
    x = 500,331.69/580.70
  6. Step 6: Final answer
    x = 861.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.