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Finding the Fourth Proportional to 643.38, 886.92 and 457.08

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Solution

The fourth proportional to 643.38, 886.92 and 457.08 is: 630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.38 : 886.92 = 457.08 : x
  2. Step 2: Convert to fraction form
    643.38/886.92 = 457.08/x
  3. Step 3: Cross multiply
    643.38x = 886.92 × 457.08
  4. Step 4: Simplify right side
    643.38x = 405,393.39
  5. Step 5: Solve for x
    x = 405,393.39/643.38
  6. Step 6: Final answer
    x = 630.10

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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.