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Finding the Fourth Proportional to 688.76, 950.48 and 374.02

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Solution

The fourth proportional to 688.76, 950.48 and 374.02 is: 516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.76 : 950.48 = 374.02 : x
  2. Step 2: Convert to fraction form
    688.76/950.48 = 374.02/x
  3. Step 3: Cross multiply
    688.76x = 950.48 × 374.02
  4. Step 4: Simplify right side
    688.76x = 355,498.53
  5. Step 5: Solve for x
    x = 355,498.53/688.76
  6. Step 6: Final answer
    x = 516.14

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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.