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Finding the Fourth Proportional to 1,126.30, 1,689.30 and 304.62

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Solution

The fourth proportional to 1,126.30, 1,689.30 and 304.62 is: 456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.30 : 1,689.30 = 304.62 : x
  2. Step 2: Convert to fraction form
    1,126.30/1,689.30 = 304.62/x
  3. Step 3: Cross multiply
    1,126.30x = 1,689.30 × 304.62
  4. Step 4: Simplify right side
    1,126.30x = 514,594.57
  5. Step 5: Solve for x
    x = 514,594.57/1,126.30
  6. Step 6: Final answer
    x = 456.89

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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.