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Finding the Fourth Proportional to 853.86, 1,278.56 and 593.09

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Solution

The fourth proportional to 853.86, 1,278.56 and 593.09 is: 888.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.86 : 1,278.56 = 593.09 : x
  2. Step 2: Convert to fraction form
    853.86/1,278.56 = 593.09/x
  3. Step 3: Cross multiply
    853.86x = 1,278.56 × 593.09
  4. Step 4: Simplify right side
    853.86x = 758,296.24
  5. Step 5: Solve for x
    x = 758,296.24/853.86
  6. Step 6: Final answer
    x = 888.08

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