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Finding the Fourth Proportional to 648.26, 972.02 and 301.40

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Solution

The fourth proportional to 648.26, 972.02 and 301.40 is: 451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.26 : 972.02 = 301.40 : x
  2. Step 2: Convert to fraction form
    648.26/972.02 = 301.40/x
  3. Step 3: Cross multiply
    648.26x = 972.02 × 301.40
  4. Step 4: Simplify right side
    648.26x = 292,966.83
  5. Step 5: Solve for x
    x = 292,966.83/648.26
  6. Step 6: Final answer
    x = 451.93

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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.