Home / 1,404.24-2,107.28-538.55

Finding the Fourth Proportional to 1,404.24, 2,107.28 and 538.55

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Solution

The fourth proportional to 1,404.24, 2,107.28 and 538.55 is: 808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.24 : 2,107.28 = 538.55 : x
  2. Step 2: Convert to fraction form
    1,404.24/2,107.28 = 538.55/x
  3. Step 3: Cross multiply
    1,404.24x = 2,107.28 × 538.55
  4. Step 4: Simplify right side
    1,404.24x = 1,134,862.41
  5. Step 5: Solve for x
    x = 1,134,862.41/1,404.24
  6. Step 6: Final answer
    x = 808.17

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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.