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Finding the Fourth Proportional to 648.57, 971.07 and 453.77

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Solution

The fourth proportional to 648.57, 971.07 and 453.77 is: 679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.57 : 971.07 = 453.77 : x
  2. Step 2: Convert to fraction form
    648.57/971.07 = 453.77/x
  3. Step 3: Cross multiply
    648.57x = 971.07 × 453.77
  4. Step 4: Simplify right side
    648.57x = 440,637.58
  5. Step 5: Solve for x
    x = 440,637.58/648.57
  6. Step 6: Final answer
    x = 679.40

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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.