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Finding the Fourth Proportional to 1,137.91, 1,706.78 and 304.90

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Solution

The fourth proportional to 1,137.91, 1,706.78 and 304.90 is: 457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.91 : 1,706.78 = 304.90 : x
  2. Step 2: Convert to fraction form
    1,137.91/1,706.78 = 304.90/x
  3. Step 3: Cross multiply
    1,137.91x = 1,706.78 × 304.90
  4. Step 4: Simplify right side
    1,137.91x = 520,395.70
  5. Step 5: Solve for x
    x = 520,395.70/1,137.91
  6. Step 6: Final answer
    x = 457.33

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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.