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Finding the Fourth Proportional to 526.27, 789.40 and 410.81

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Solution

The fourth proportional to 526.27, 789.40 and 410.81 is: 616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.27 : 789.40 = 410.81 : x
  2. Step 2: Convert to fraction form
    526.27/789.40 = 410.81/x
  3. Step 3: Cross multiply
    526.27x = 789.40 × 410.81
  4. Step 4: Simplify right side
    526.27x = 324,296.75
  5. Step 5: Solve for x
    x = 324,296.75/526.27
  6. Step 6: Final answer
    x = 616.22

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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.