Home / 1,154.40-1,731.05-423.46

Finding the Fourth Proportional to 1,154.40, 1,731.05 and 423.46

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Solution

The fourth proportional to 1,154.40, 1,731.05 and 423.46 is: 634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.40 : 1,731.05 = 423.46 : x
  2. Step 2: Convert to fraction form
    1,154.40/1,731.05 = 423.46/x
  3. Step 3: Cross multiply
    1,154.40x = 1,731.05 × 423.46
  4. Step 4: Simplify right side
    1,154.40x = 733,030.43
  5. Step 5: Solve for x
    x = 733,030.43/1,154.40
  6. Step 6: Final answer
    x = 634.99

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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.