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Finding the Fourth Proportional to 854.38, 1,180.20 and 670.20

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Solution

The fourth proportional to 854.38, 1,180.20 and 670.20 is: 925.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.38 : 1,180.20 = 670.20 : x
  2. Step 2: Convert to fraction form
    854.38/1,180.20 = 670.20/x
  3. Step 3: Cross multiply
    854.38x = 1,180.20 × 670.20
  4. Step 4: Simplify right side
    854.38x = 790,970.04
  5. Step 5: Solve for x
    x = 790,970.04/854.38
  6. Step 6: Final answer
    x = 925.78

Related Problems

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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.