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Finding the Fourth Proportional to 526.10, 789.66 and 283.14

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Solution

The fourth proportional to 526.10, 789.66 and 283.14 is: 424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.10 : 789.66 = 283.14 : x
  2. Step 2: Convert to fraction form
    526.10/789.66 = 283.14/x
  3. Step 3: Cross multiply
    526.10x = 789.66 × 283.14
  4. Step 4: Simplify right side
    526.10x = 223,584.33
  5. Step 5: Solve for x
    x = 223,584.33/526.10
  6. Step 6: Final answer
    x = 424.99

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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.