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Finding the Fourth Proportional to 1,126.44, 1,689.71 and 304.74

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Solution

The fourth proportional to 1,126.44, 1,689.71 and 304.74 is: 457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.44 : 1,689.71 = 304.74 : x
  2. Step 2: Convert to fraction form
    1,126.44/1,689.71 = 304.74/x
  3. Step 3: Cross multiply
    1,126.44x = 1,689.71 × 304.74
  4. Step 4: Simplify right side
    1,126.44x = 514,920.70
  5. Step 5: Solve for x
    x = 514,920.70/1,126.44
  6. Step 6: Final answer
    x = 457.12

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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.