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Finding the Fourth Proportional to 463.20, 689.81 and 435.25

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Solution

The fourth proportional to 463.20, 689.81 and 435.25 is: 648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.20 : 689.81 = 435.25 : x
  2. Step 2: Convert to fraction form
    463.20/689.81 = 435.25/x
  3. Step 3: Cross multiply
    463.20x = 689.81 × 435.25
  4. Step 4: Simplify right side
    463.20x = 300,239.80
  5. Step 5: Solve for x
    x = 300,239.80/463.20
  6. Step 6: Final answer
    x = 648.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.