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Finding the Fourth Proportional to 785.38, 1,084.53 and 490.72

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Solution

The fourth proportional to 785.38, 1,084.53 and 490.72 is: 677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.38 : 1,084.53 = 490.72 : x
  2. Step 2: Convert to fraction form
    785.38/1,084.53 = 490.72/x
  3. Step 3: Cross multiply
    785.38x = 1,084.53 × 490.72
  4. Step 4: Simplify right side
    785.38x = 532,200.56
  5. Step 5: Solve for x
    x = 532,200.56/785.38
  6. Step 6: Final answer
    x = 677.63

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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.