Home / 1,154.51-1,731.78-288.83

Finding the Fourth Proportional to 1,154.51, 1,731.78 and 288.83

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Solution

The fourth proportional to 1,154.51, 1,731.78 and 288.83 is: 433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.51 : 1,731.78 = 288.83 : x
  2. Step 2: Convert to fraction form
    1,154.51/1,731.78 = 288.83/x
  3. Step 3: Cross multiply
    1,154.51x = 1,731.78 × 288.83
  4. Step 4: Simplify right side
    1,154.51x = 500,179.91
  5. Step 5: Solve for x
    x = 500,179.91/1,154.51
  6. Step 6: Final answer
    x = 433.24

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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.