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Finding the Fourth Proportional to 463.15, 690.33 and 428.04

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Solution

The fourth proportional to 463.15, 690.33 and 428.04 is: 638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.15 : 690.33 = 428.04 : x
  2. Step 2: Convert to fraction form
    463.15/690.33 = 428.04/x
  3. Step 3: Cross multiply
    463.15x = 690.33 × 428.04
  4. Step 4: Simplify right side
    463.15x = 295,488.85
  5. Step 5: Solve for x
    x = 295,488.85/463.15
  6. Step 6: Final answer
    x = 638.00

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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.