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Finding the Fourth Proportional to 648.36, 972.90 and 463.38

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Solution

The fourth proportional to 648.36, 972.90 and 463.38 is: 695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.36 : 972.90 = 463.38 : x
  2. Step 2: Convert to fraction form
    648.36/972.90 = 463.38/x
  3. Step 3: Cross multiply
    648.36x = 972.90 × 463.38
  4. Step 4: Simplify right side
    648.36x = 450,822.40
  5. Step 5: Solve for x
    x = 450,822.40/648.36
  6. Step 6: Final answer
    x = 695.33

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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.