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Finding the Fourth Proportional to 463.88, 690.94 and 457.04

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Solution

The fourth proportional to 463.88, 690.94 and 457.04 is: 680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.88 : 690.94 = 457.04 : x
  2. Step 2: Convert to fraction form
    463.88/690.94 = 457.04/x
  3. Step 3: Cross multiply
    463.88x = 690.94 × 457.04
  4. Step 4: Simplify right side
    463.88x = 315,787.22
  5. Step 5: Solve for x
    x = 315,787.22/463.88
  6. Step 6: Final answer
    x = 680.75

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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.