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Finding the Fourth Proportional to 648.92, 972.28 and 465.40

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Solution

The fourth proportional to 648.92, 972.28 and 465.40 is: 697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.92 : 972.28 = 465.40 : x
  2. Step 2: Convert to fraction form
    648.92/972.28 = 465.40/x
  3. Step 3: Cross multiply
    648.92x = 972.28 × 465.40
  4. Step 4: Simplify right side
    648.92x = 452,499.11
  5. Step 5: Solve for x
    x = 452,499.11/648.92
  6. Step 6: Final answer
    x = 697.31

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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.