Home / 1,154.70-1,731.08-538.09

Finding the Fourth Proportional to 1,154.70, 1,731.08 and 538.09

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Solution

The fourth proportional to 1,154.70, 1,731.08 and 538.09 is: 806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.70 : 1,731.08 = 538.09 : x
  2. Step 2: Convert to fraction form
    1,154.70/1,731.08 = 538.09/x
  3. Step 3: Cross multiply
    1,154.70x = 1,731.08 × 538.09
  4. Step 4: Simplify right side
    1,154.70x = 931,473.85
  5. Step 5: Solve for x
    x = 931,473.85/1,154.70
  6. Step 6: Final answer
    x = 806.68

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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.