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Finding the Fourth Proportional to 688.68, 948.90 and 467.24

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Solution

The fourth proportional to 688.68, 948.90 and 467.24 is: 643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.68 : 948.90 = 467.24 : x
  2. Step 2: Convert to fraction form
    688.68/948.90 = 467.24/x
  3. Step 3: Cross multiply
    688.68x = 948.90 × 467.24
  4. Step 4: Simplify right side
    688.68x = 443,366.41
  5. Step 5: Solve for x
    x = 443,366.41/688.68
  6. Step 6: Final answer
    x = 643.79

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1.5x scale

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.