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Finding the Fourth Proportional to 648.59, 976.68 and 467.24

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Solution

The fourth proportional to 648.59, 976.68 and 467.24 is: 703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.59 : 976.68 = 467.24 : x
  2. Step 2: Convert to fraction form
    648.59/976.68 = 467.24/x
  3. Step 3: Cross multiply
    648.59x = 976.68 × 467.24
  4. Step 4: Simplify right side
    648.59x = 456,339.08
  5. Step 5: Solve for x
    x = 456,339.08/648.59
  6. Step 6: Final answer
    x = 703.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.