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Finding the Fourth Proportional to 561.87, 842.80 and 253.66

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Solution

The fourth proportional to 561.87, 842.80 and 253.66 is: 380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.87 : 842.80 = 253.66 : x
  2. Step 2: Convert to fraction form
    561.87/842.80 = 253.66/x
  3. Step 3: Cross multiply
    561.87x = 842.80 × 253.66
  4. Step 4: Simplify right side
    561.87x = 213,783.38
  5. Step 5: Solve for x
    x = 213,783.38/561.87
  6. Step 6: Final answer
    x = 380.49

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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.