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Finding the Fourth Proportional to 578.70, 867.38 and 253.76

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Solution

The fourth proportional to 578.70, 867.38 and 253.76 is: 380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.70 : 867.38 = 253.76 : x
  2. Step 2: Convert to fraction form
    578.70/867.38 = 253.76/x
  3. Step 3: Cross multiply
    578.70x = 867.38 × 253.76
  4. Step 4: Simplify right side
    578.70x = 220,100.74
  5. Step 5: Solve for x
    x = 220,100.74/578.70
  6. Step 6: Final answer
    x = 380.34

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.