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Finding the Fourth Proportional to 561.75, 842.88 and 253.68

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Solution

The fourth proportional to 561.75, 842.88 and 253.68 is: 380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.75 : 842.88 = 253.68 : x
  2. Step 2: Convert to fraction form
    561.75/842.88 = 253.68/x
  3. Step 3: Cross multiply
    561.75x = 842.88 × 253.68
  4. Step 4: Simplify right side
    561.75x = 213,821.80
  5. Step 5: Solve for x
    x = 213,821.80/561.75
  6. Step 6: Final answer
    x = 380.64

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Half scale
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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.