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Finding the Fourth Proportional to 648.98, 971.58 and 374.24

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Solution

The fourth proportional to 648.98, 971.58 and 374.24 is: 560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.98 : 971.58 = 374.24 : x
  2. Step 2: Convert to fraction form
    648.98/971.58 = 374.24/x
  3. Step 3: Cross multiply
    648.98x = 971.58 × 374.24
  4. Step 4: Simplify right side
    648.98x = 363,604.10
  5. Step 5: Solve for x
    x = 363,604.10/648.98
  6. Step 6: Final answer
    x = 560.27

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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.