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Finding the Fourth Proportional to 463.40, 640.01 and 315.78

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Solution

The fourth proportional to 463.40, 640.01 and 315.78 is: 436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.40 : 640.01 = 315.78 : x
  2. Step 2: Convert to fraction form
    463.40/640.01 = 315.78/x
  3. Step 3: Cross multiply
    463.40x = 640.01 × 315.78
  4. Step 4: Simplify right side
    463.40x = 202,099.16
  5. Step 5: Solve for x
    x = 202,099.16/463.40
  6. Step 6: Final answer
    x = 436.13

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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.