Home / 1,525.34-2,288.15-429.73

Finding the Fourth Proportional to 1,525.34, 2,288.15 and 429.73

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Solution

The fourth proportional to 1,525.34, 2,288.15 and 429.73 is: 644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.34 : 2,288.15 = 429.73 : x
  2. Step 2: Convert to fraction form
    1,525.34/2,288.15 = 429.73/x
  3. Step 3: Cross multiply
    1,525.34x = 2,288.15 × 429.73
  4. Step 4: Simplify right side
    1,525.34x = 983,286.70
  5. Step 5: Solve for x
    x = 983,286.70/1,525.34
  6. Step 6: Final answer
    x = 644.63

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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.