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Finding the Fourth Proportional to 648.70, 971.50 and 374.21

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Solution

The fourth proportional to 648.70, 971.50 and 374.21 is: 560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.70 : 971.50 = 374.21 : x
  2. Step 2: Convert to fraction form
    648.70/971.50 = 374.21/x
  3. Step 3: Cross multiply
    648.70x = 971.50 × 374.21
  4. Step 4: Simplify right side
    648.70x = 363,545.02
  5. Step 5: Solve for x
    x = 363,545.02/648.70
  6. Step 6: Final answer
    x = 560.42

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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.