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Finding the Fourth Proportional to 671.68, 927.81 and 526.14

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Solution

The fourth proportional to 671.68, 927.81 and 526.14 is: 726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.68 : 927.81 = 526.14 : x
  2. Step 2: Convert to fraction form
    671.68/927.81 = 526.14/x
  3. Step 3: Cross multiply
    671.68x = 927.81 × 526.14
  4. Step 4: Simplify right side
    671.68x = 488,157.95
  5. Step 5: Solve for x
    x = 488,157.95/671.68
  6. Step 6: Final answer
    x = 726.77

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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.