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Finding the Fourth Proportional to 878.38, 1,211.94 and 598.12

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Solution

The fourth proportional to 878.38, 1,211.94 and 598.12 is: 825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.38 : 1,211.94 = 598.12 : x
  2. Step 2: Convert to fraction form
    878.38/1,211.94 = 598.12/x
  3. Step 3: Cross multiply
    878.38x = 1,211.94 × 598.12
  4. Step 4: Simplify right side
    878.38x = 724,885.55
  5. Step 5: Solve for x
    x = 724,885.55/878.38
  6. Step 6: Final answer
    x = 825.25

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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.