Home / 1,525.20-2,287.89-429.60

Finding the Fourth Proportional to 1,525.20, 2,287.89 and 429.60

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Solution

The fourth proportional to 1,525.20, 2,287.89 and 429.60 is: 644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.20 : 2,287.89 = 429.60 : x
  2. Step 2: Convert to fraction form
    1,525.20/2,287.89 = 429.60/x
  3. Step 3: Cross multiply
    1,525.20x = 2,287.89 × 429.60
  4. Step 4: Simplify right side
    1,525.20x = 982,877.54
  5. Step 5: Solve for x
    x = 982,877.54/1,525.20
  6. Step 6: Final answer
    x = 644.43

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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.