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Finding the Fourth Proportional to 580.26, 800.76 and 344.10

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Solution

The fourth proportional to 580.26, 800.76 and 344.10 is: 474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.26 : 800.76 = 344.10 : x
  2. Step 2: Convert to fraction form
    580.26/800.76 = 344.10/x
  3. Step 3: Cross multiply
    580.26x = 800.76 × 344.10
  4. Step 4: Simplify right side
    580.26x = 275,541.52
  5. Step 5: Solve for x
    x = 275,541.52/580.26
  6. Step 6: Final answer
    x = 474.86

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.