Home / 1,525.26-2,287.91-429.66

Finding the Fourth Proportional to 1,525.26, 2,287.91 and 429.66

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Solution

The fourth proportional to 1,525.26, 2,287.91 and 429.66 is: 644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.26 : 2,287.91 = 429.66 : x
  2. Step 2: Convert to fraction form
    1,525.26/2,287.91 = 429.66/x
  3. Step 3: Cross multiply
    1,525.26x = 2,287.91 × 429.66
  4. Step 4: Simplify right side
    1,525.26x = 983,023.41
  5. Step 5: Solve for x
    x = 983,023.41/1,525.26
  6. Step 6: Final answer
    x = 644.50

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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.