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Finding the Fourth Proportional to 1,014.38, 1,518.83 and 526.41

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Solution

The fourth proportional to 1,014.38, 1,518.83 and 526.41 is: 788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.38 : 1,518.83 = 526.41 : x
  2. Step 2: Convert to fraction form
    1,014.38/1,518.83 = 526.41/x
  3. Step 3: Cross multiply
    1,014.38x = 1,518.83 × 526.41
  4. Step 4: Simplify right side
    1,014.38x = 799,527.30
  5. Step 5: Solve for x
    x = 799,527.30/1,014.38
  6. Step 6: Final answer
    x = 788.19

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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.