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Finding the Fourth Proportional to 648.47, 971.91 and 463.10

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Solution

The fourth proportional to 648.47, 971.91 and 463.10 is: 694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.47 : 971.91 = 463.10 : x
  2. Step 2: Convert to fraction form
    648.47/971.91 = 463.10/x
  3. Step 3: Cross multiply
    648.47x = 971.91 × 463.10
  4. Step 4: Simplify right side
    648.47x = 450,086.66
  5. Step 5: Solve for x
    x = 450,086.66/648.47
  6. Step 6: Final answer
    x = 694.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.