Home / 1,154.00-1,731.15-423.58

Finding the Fourth Proportional to 1,154.00, 1,731.15 and 423.58

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Solution

The fourth proportional to 1,154.00, 1,731.15 and 423.58 is: 635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.00 : 1,731.15 = 423.58 : x
  2. Step 2: Convert to fraction form
    1,154.00/1,731.15 = 423.58/x
  3. Step 3: Cross multiply
    1,154.00x = 1,731.15 × 423.58
  4. Step 4: Simplify right side
    1,154.00x = 733,278.40
  5. Step 5: Solve for x
    x = 733,278.40/1,154.00
  6. Step 6: Final answer
    x = 635.43

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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.