Home / 1,156.34-1,734.28-376.30

Finding the Fourth Proportional to 1,156.34, 1,734.28 and 376.30

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Solution

The fourth proportional to 1,156.34, 1,734.28 and 376.30 is: 564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.34 : 1,734.28 = 376.30 : x
  2. Step 2: Convert to fraction form
    1,156.34/1,734.28 = 376.30/x
  3. Step 3: Cross multiply
    1,156.34x = 1,734.28 × 376.30
  4. Step 4: Simplify right side
    1,156.34x = 652,609.56
  5. Step 5: Solve for x
    x = 652,609.56/1,156.34
  6. Step 6: Final answer
    x = 564.38

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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.