Home / 1,154.48-1,731.31-538.07

Finding the Fourth Proportional to 1,154.48, 1,731.31 and 538.07

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Solution

The fourth proportional to 1,154.48, 1,731.31 and 538.07 is: 806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.48 : 1,731.31 = 538.07 : x
  2. Step 2: Convert to fraction form
    1,154.48/1,731.31 = 538.07/x
  3. Step 3: Cross multiply
    1,154.48x = 1,731.31 × 538.07
  4. Step 4: Simplify right side
    1,154.48x = 931,555.97
  5. Step 5: Solve for x
    x = 931,555.97/1,154.48
  6. Step 6: Final answer
    x = 806.91

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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.