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Finding the Fourth Proportional to 785.35, 1,084.08 and 490.69

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Solution

The fourth proportional to 785.35, 1,084.08 and 490.69 is: 677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.35 : 1,084.08 = 490.69 : x
  2. Step 2: Convert to fraction form
    785.35/1,084.08 = 490.69/x
  3. Step 3: Cross multiply
    785.35x = 1,084.08 × 490.69
  4. Step 4: Simplify right side
    785.35x = 531,947.22
  5. Step 5: Solve for x
    x = 531,947.22/785.35
  6. Step 6: Final answer
    x = 677.34

Related Problems

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.