Home / 1,525.23-2,288.25-429.64

Finding the Fourth Proportional to 1,525.23, 2,288.25 and 429.64

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Solution

The fourth proportional to 1,525.23, 2,288.25 and 429.64 is: 644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.23 : 2,288.25 = 429.64 : x
  2. Step 2: Convert to fraction form
    1,525.23/2,288.25 = 429.64/x
  3. Step 3: Cross multiply
    1,525.23x = 2,288.25 × 429.64
  4. Step 4: Simplify right side
    1,525.23x = 983,118.01
  5. Step 5: Solve for x
    x = 983,118.01/1,525.23
  6. Step 6: Final answer
    x = 644.57

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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.