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Finding the Fourth Proportional to 526.59, 789.06 and 282.78

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Solution

The fourth proportional to 526.59, 789.06 and 282.78 is: 423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.59 : 789.06 = 282.78 : x
  2. Step 2: Convert to fraction form
    526.59/789.06 = 282.78/x
  3. Step 3: Cross multiply
    526.59x = 789.06 × 282.78
  4. Step 4: Simplify right side
    526.59x = 223,130.39
  5. Step 5: Solve for x
    x = 223,130.39/526.59
  6. Step 6: Final answer
    x = 423.73

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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.