Home / 1,089.12-1,631.70-540.48

Finding the Fourth Proportional to 1,089.12, 1,631.70 and 540.48

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Solution

The fourth proportional to 1,089.12, 1,631.70 and 540.48 is: 809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.12 : 1,631.70 = 540.48 : x
  2. Step 2: Convert to fraction form
    1,089.12/1,631.70 = 540.48/x
  3. Step 3: Cross multiply
    1,089.12x = 1,631.70 × 540.48
  4. Step 4: Simplify right side
    1,089.12x = 881,901.22
  5. Step 5: Solve for x
    x = 881,901.22/1,089.12
  6. Step 6: Final answer
    x = 809.74

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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.