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Finding the Fourth Proportional to 526.45, 789.66 and 308.59

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Solution

The fourth proportional to 526.45, 789.66 and 308.59 is: 462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.45 : 789.66 = 308.59 : x
  2. Step 2: Convert to fraction form
    526.45/789.66 = 308.59/x
  3. Step 3: Cross multiply
    526.45x = 789.66 × 308.59
  4. Step 4: Simplify right side
    526.45x = 243,679.21
  5. Step 5: Solve for x
    x = 243,679.21/526.45
  6. Step 6: Final answer
    x = 462.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.