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Finding the Fourth Proportional to 853.56, 1,178.82 and 632.16

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Solution

The fourth proportional to 853.56, 1,178.82 and 632.16 is: 873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.56 : 1,178.82 = 632.16 : x
  2. Step 2: Convert to fraction form
    853.56/1,178.82 = 632.16/x
  3. Step 3: Cross multiply
    853.56x = 1,178.82 × 632.16
  4. Step 4: Simplify right side
    853.56x = 745,202.85
  5. Step 5: Solve for x
    x = 745,202.85/853.56
  6. Step 6: Final answer
    x = 873.05

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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.