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Finding the Fourth Proportional to 696.78, 961.20 and 463.50

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Solution

The fourth proportional to 696.78, 961.20 and 463.50 is: 639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.78 : 961.20 = 463.50 : x
  2. Step 2: Convert to fraction form
    696.78/961.20 = 463.50/x
  3. Step 3: Cross multiply
    696.78x = 961.20 × 463.50
  4. Step 4: Simplify right side
    696.78x = 445,516.20
  5. Step 5: Solve for x
    x = 445,516.20/696.78
  6. Step 6: Final answer
    x = 639.39

Related Problems

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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.