Home / 1,540.04-2,309.84-429.53

Finding the Fourth Proportional to 1,540.04, 2,309.84 and 429.53

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Solution

The fourth proportional to 1,540.04, 2,309.84 and 429.53 is: 644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.04 : 2,309.84 = 429.53 : x
  2. Step 2: Convert to fraction form
    1,540.04/2,309.84 = 429.53/x
  3. Step 3: Cross multiply
    1,540.04x = 2,309.84 × 429.53
  4. Step 4: Simplify right side
    1,540.04x = 992,131.88
  5. Step 5: Solve for x
    x = 992,131.88/1,540.04
  6. Step 6: Final answer
    x = 644.23

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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.