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Finding the Fourth Proportional to 688.23, 948.91 and 478.59

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Solution

The fourth proportional to 688.23, 948.91 and 478.59 is: 659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.23 : 948.91 = 478.59 : x
  2. Step 2: Convert to fraction form
    688.23/948.91 = 478.59/x
  3. Step 3: Cross multiply
    688.23x = 948.91 × 478.59
  4. Step 4: Simplify right side
    688.23x = 454,138.84
  5. Step 5: Solve for x
    x = 454,138.84/688.23
  6. Step 6: Final answer
    x = 659.86

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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.