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Finding the Fourth Proportional to 648.46, 972.86 and 215.62

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Solution

The fourth proportional to 648.46, 972.86 and 215.62 is: 323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.46 : 972.86 = 215.62 : x
  2. Step 2: Convert to fraction form
    648.46/972.86 = 215.62/x
  3. Step 3: Cross multiply
    648.46x = 972.86 × 215.62
  4. Step 4: Simplify right side
    648.46x = 209,768.07
  5. Step 5: Solve for x
    x = 209,768.07/648.46
  6. Step 6: Final answer
    x = 323.49

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1.5x scale

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.