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Finding the Fourth Proportional to 1,248.76, 1,722.90 and 829.72

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Solution

The fourth proportional to 1,248.76, 1,722.90 and 829.72 is: 1,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.76 : 1,722.90 = 829.72 : x
  2. Step 2: Convert to fraction form
    1,248.76/1,722.90 = 829.72/x
  3. Step 3: Cross multiply
    1,248.76x = 1,722.90 × 829.72
  4. Step 4: Simplify right side
    1,248.76x = 1,429,524.59
  5. Step 5: Solve for x
    x = 1,429,524.59/1,248.76
  6. Step 6: Final answer
    x = 1,144.76

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Find fourth proportional to 624.38, 861.45 and 414.86
Half scale
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Double scale
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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.