Home / 1,269.24-1,904.12-538.64

Finding the Fourth Proportional to 1,269.24, 1,904.12 and 538.64

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Solution

The fourth proportional to 1,269.24, 1,904.12 and 538.64 is: 808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.24 : 1,904.12 = 538.64 : x
  2. Step 2: Convert to fraction form
    1,269.24/1,904.12 = 538.64/x
  3. Step 3: Cross multiply
    1,269.24x = 1,904.12 × 538.64
  4. Step 4: Simplify right side
    1,269.24x = 1,025,635.20
  5. Step 5: Solve for x
    x = 1,025,635.20/1,269.24
  6. Step 6: Final answer
    x = 808.07

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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.