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Finding the Fourth Proportional to 696.81, 960.06 and 463.53

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Solution

The fourth proportional to 696.81, 960.06 and 463.53 is: 638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.81 : 960.06 = 463.53 : x
  2. Step 2: Convert to fraction form
    696.81/960.06 = 463.53/x
  3. Step 3: Cross multiply
    696.81x = 960.06 × 463.53
  4. Step 4: Simplify right side
    696.81x = 445,016.61
  5. Step 5: Solve for x
    x = 445,016.61/696.81
  6. Step 6: Final answer
    x = 638.65

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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.