Home / 1,269.38-1,904.30-585.38

Finding the Fourth Proportional to 1,269.38, 1,904.30 and 585.38

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Solution

The fourth proportional to 1,269.38, 1,904.30 and 585.38 is: 878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.38 : 1,904.30 = 585.38 : x
  2. Step 2: Convert to fraction form
    1,269.38/1,904.30 = 585.38/x
  3. Step 3: Cross multiply
    1,269.38x = 1,904.30 × 585.38
  4. Step 4: Simplify right side
    1,269.38x = 1,114,731.08
  5. Step 5: Solve for x
    x = 1,114,731.08/1,269.38
  6. Step 6: Final answer
    x = 878.17

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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.