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Finding the Fourth Proportional to 853.98, 1,178.62 and 481.10

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Solution

The fourth proportional to 853.98, 1,178.62 and 481.10 is: 663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.98 : 1,178.62 = 481.10 : x
  2. Step 2: Convert to fraction form
    853.98/1,178.62 = 481.10/x
  3. Step 3: Cross multiply
    853.98x = 1,178.62 × 481.10
  4. Step 4: Simplify right side
    853.98x = 567,034.08
  5. Step 5: Solve for x
    x = 567,034.08/853.98
  6. Step 6: Final answer
    x = 663.99

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Half scale
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Double scale
Find fourth proportional to 854.98, 1,180 and 482.10
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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.