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Finding the Fourth Proportional to 647.68, 970.86 and 323.20

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Solution

The fourth proportional to 647.68, 970.86 and 323.20 is: 484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.68 : 970.86 = 323.20 : x
  2. Step 2: Convert to fraction form
    647.68/970.86 = 323.20/x
  3. Step 3: Cross multiply
    647.68x = 970.86 × 323.20
  4. Step 4: Simplify right side
    647.68x = 313,781.95
  5. Step 5: Solve for x
    x = 313,781.95/647.68
  6. Step 6: Final answer
    x = 484.47

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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.