Home / 1,126.29-1,689.42-304.65

Finding the Fourth Proportional to 1,126.29, 1,689.42 and 304.65

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Solution

The fourth proportional to 1,126.29, 1,689.42 and 304.65 is: 456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.29 : 1,689.42 = 304.65 : x
  2. Step 2: Convert to fraction form
    1,126.29/1,689.42 = 304.65/x
  3. Step 3: Cross multiply
    1,126.29x = 1,689.42 × 304.65
  4. Step 4: Simplify right side
    1,126.29x = 514,681.80
  5. Step 5: Solve for x
    x = 514,681.80/1,126.29
  6. Step 6: Final answer
    x = 456.97

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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.