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Finding the Fourth Proportional to 463.79, 640.10 and 289.19

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Solution

The fourth proportional to 463.79, 640.10 and 289.19 is: 399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.79 : 640.10 = 289.19 : x
  2. Step 2: Convert to fraction form
    463.79/640.10 = 289.19/x
  3. Step 3: Cross multiply
    463.79x = 640.10 × 289.19
  4. Step 4: Simplify right side
    463.79x = 185,110.52
  5. Step 5: Solve for x
    x = 185,110.52/463.79
  6. Step 6: Final answer
    x = 399.13

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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.