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Finding the Fourth Proportional to 1,219.71, 1,829.69 and 526.24

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Solution

The fourth proportional to 1,219.71, 1,829.69 and 526.24 is: 789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.71 : 1,829.69 = 526.24 : x
  2. Step 2: Convert to fraction form
    1,219.71/1,829.69 = 526.24/x
  3. Step 3: Cross multiply
    1,219.71x = 1,829.69 × 526.24
  4. Step 4: Simplify right side
    1,219.71x = 962,856.07
  5. Step 5: Solve for x
    x = 962,856.07/1,219.71
  6. Step 6: Final answer
    x = 789.41

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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.