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Finding the Fourth Proportional to 1,348.47, 1,861.08 and 759.06

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Solution

The fourth proportional to 1,348.47, 1,861.08 and 759.06 is: 1,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.47 : 1,861.08 = 759.06 : x
  2. Step 2: Convert to fraction form
    1,348.47/1,861.08 = 759.06/x
  3. Step 3: Cross multiply
    1,348.47x = 1,861.08 × 759.06
  4. Step 4: Simplify right side
    1,348.47x = 1,412,671.38
  5. Step 5: Solve for x
    x = 1,412,671.38/1,348.47
  6. Step 6: Final answer
    x = 1,047.61

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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.