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Finding the Fourth Proportional to 526.81, 789.90 and 282.91

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Solution

The fourth proportional to 526.81, 789.90 and 282.91 is: 424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.81 : 789.90 = 282.91 : x
  2. Step 2: Convert to fraction form
    526.81/789.90 = 282.91/x
  3. Step 3: Cross multiply
    526.81x = 789.90 × 282.91
  4. Step 4: Simplify right side
    526.81x = 223,470.61
  5. Step 5: Solve for x
    x = 223,470.61/526.81
  6. Step 6: Final answer
    x = 424.20

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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.