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Finding the Fourth Proportional to 696.48, 960.48 and 463.20

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Solution

The fourth proportional to 696.48, 960.48 and 463.20 is: 638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.48 : 960.48 = 463.20 : x
  2. Step 2: Convert to fraction form
    696.48/960.48 = 463.20/x
  3. Step 3: Cross multiply
    696.48x = 960.48 × 463.20
  4. Step 4: Simplify right side
    696.48x = 444,894.34
  5. Step 5: Solve for x
    x = 444,894.34/696.48
  6. Step 6: Final answer
    x = 638.78

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.