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Finding the Fourth Proportional to 688.37, 949.76 and 478.31

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Solution

The fourth proportional to 688.37, 949.76 and 478.31 is: 659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.37 : 949.76 = 478.31 : x
  2. Step 2: Convert to fraction form
    688.37/949.76 = 478.31/x
  3. Step 3: Cross multiply
    688.37x = 949.76 × 478.31
  4. Step 4: Simplify right side
    688.37x = 454,274.36
  5. Step 5: Solve for x
    x = 454,274.36/688.37
  6. Step 6: Final answer
    x = 659.93

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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.