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Finding the Fourth Proportional to 648.41, 971.60 and 374.63

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Solution

The fourth proportional to 648.41, 971.60 and 374.63 is: 561.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.41 : 971.60 = 374.63 : x
  2. Step 2: Convert to fraction form
    648.41/971.60 = 374.63/x
  3. Step 3: Cross multiply
    648.41x = 971.60 × 374.63
  4. Step 4: Simplify right side
    648.41x = 363,983.78
  5. Step 5: Solve for x
    x = 363,983.78/648.41
  6. Step 6: Final answer
    x = 561.35

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Double scale
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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.