Home / 1,154.55-1,731.82-288.87

Finding the Fourth Proportional to 1,154.55, 1,731.82 and 288.87

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Solution

The fourth proportional to 1,154.55, 1,731.82 and 288.87 is: 433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.55 : 1,731.82 = 288.87 : x
  2. Step 2: Convert to fraction form
    1,154.55/1,731.82 = 288.87/x
  3. Step 3: Cross multiply
    1,154.55x = 1,731.82 × 288.87
  4. Step 4: Simplify right side
    1,154.55x = 500,261.46
  5. Step 5: Solve for x
    x = 500,261.46/1,154.55
  6. Step 6: Final answer
    x = 433.29

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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.