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Finding the Fourth Proportional to 853.01, 1,278.70 and 487.29

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Solution

The fourth proportional to 853.01, 1,278.70 and 487.29 is: 730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.01 : 1,278.70 = 487.29 : x
  2. Step 2: Convert to fraction form
    853.01/1,278.70 = 487.29/x
  3. Step 3: Cross multiply
    853.01x = 1,278.70 × 487.29
  4. Step 4: Simplify right side
    853.01x = 623,096.50
  5. Step 5: Solve for x
    x = 623,096.50/853.01
  6. Step 6: Final answer
    x = 730.47

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