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Finding the Fourth Proportional to 688.35, 948.72 and 467.22

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Solution

The fourth proportional to 688.35, 948.72 and 467.22 is: 643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.35 : 948.72 = 467.22 : x
  2. Step 2: Convert to fraction form
    688.35/948.72 = 467.22/x
  3. Step 3: Cross multiply
    688.35x = 948.72 × 467.22
  4. Step 4: Simplify right side
    688.35x = 443,260.96
  5. Step 5: Solve for x
    x = 443,260.96/688.35
  6. Step 6: Final answer
    x = 643.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.