Home / 1,525.10-2,287.64-429.41

Finding the Fourth Proportional to 1,525.10, 2,287.64 and 429.41

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Solution

The fourth proportional to 1,525.10, 2,287.64 and 429.41 is: 644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.10 : 2,287.64 = 429.41 : x
  2. Step 2: Convert to fraction form
    1,525.10/2,287.64 = 429.41/x
  3. Step 3: Cross multiply
    1,525.10x = 2,287.64 × 429.41
  4. Step 4: Simplify right side
    1,525.10x = 982,335.49
  5. Step 5: Solve for x
    x = 982,335.49/1,525.10
  6. Step 6: Final answer
    x = 644.11

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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.