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Finding the Fourth Proportional to 867.38, 1,196.98 and 556.88

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Solution

The fourth proportional to 867.38, 1,196.98 and 556.88 is: 768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.38 : 1,196.98 = 556.88 : x
  2. Step 2: Convert to fraction form
    867.38/1,196.98 = 556.88/x
  3. Step 3: Cross multiply
    867.38x = 1,196.98 × 556.88
  4. Step 4: Simplify right side
    867.38x = 666,566.85
  5. Step 5: Solve for x
    x = 666,566.85/867.38
  6. Step 6: Final answer
    x = 768.49

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