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Finding the Fourth Proportional to 643.12, 962.52 and 486.52

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Solution

The fourth proportional to 643.12, 962.52 and 486.52 is: 728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.12 : 962.52 = 486.52 : x
  2. Step 2: Convert to fraction form
    643.12/962.52 = 486.52/x
  3. Step 3: Cross multiply
    643.12x = 962.52 × 486.52
  4. Step 4: Simplify right side
    643.12x = 468,285.23
  5. Step 5: Solve for x
    x = 468,285.23/643.12
  6. Step 6: Final answer
    x = 728.15

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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.