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Finding the Fourth Proportional to 1,013.46, 1,519.59 and 526.85

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Solution

The fourth proportional to 1,013.46, 1,519.59 and 526.85 is: 789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.46 : 1,519.59 = 526.85 : x
  2. Step 2: Convert to fraction form
    1,013.46/1,519.59 = 526.85/x
  3. Step 3: Cross multiply
    1,013.46x = 1,519.59 × 526.85
  4. Step 4: Simplify right side
    1,013.46x = 800,600.17
  5. Step 5: Solve for x
    x = 800,600.17/1,013.46
  6. Step 6: Final answer
    x = 789.97

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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.