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Finding the Fourth Proportional to 648.02, 971.31 and 359.30

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Solution

The fourth proportional to 648.02, 971.31 and 359.30 is: 538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.02 : 971.31 = 359.30 : x
  2. Step 2: Convert to fraction form
    648.02/971.31 = 359.30/x
  3. Step 3: Cross multiply
    648.02x = 971.31 × 359.30
  4. Step 4: Simplify right side
    648.02x = 348,991.68
  5. Step 5: Solve for x
    x = 348,991.68/648.02
  6. Step 6: Final answer
    x = 538.55

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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.