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Finding the Fourth Proportional to 1,415.80, 1,953.92 and 826.52

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Solution

The fourth proportional to 1,415.80, 1,953.92 and 826.52 is: 1,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.80 : 1,953.92 = 826.52 : x
  2. Step 2: Convert to fraction form
    1,415.80/1,953.92 = 826.52/x
  3. Step 3: Cross multiply
    1,415.80x = 1,953.92 × 826.52
  4. Step 4: Simplify right side
    1,415.80x = 1,614,953.96
  5. Step 5: Solve for x
    x = 1,614,953.96/1,415.80
  6. Step 6: Final answer
    x = 1,140.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.