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Finding the Fourth Proportional to 1,137.45, 1,706.19 and 357.42

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Solution

The fourth proportional to 1,137.45, 1,706.19 and 357.42 is: 536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.45 : 1,706.19 = 357.42 : x
  2. Step 2: Convert to fraction form
    1,137.45/1,706.19 = 357.42/x
  3. Step 3: Cross multiply
    1,137.45x = 1,706.19 × 357.42
  4. Step 4: Simplify right side
    1,137.45x = 609,826.43
  5. Step 5: Solve for x
    x = 609,826.43/1,137.45
  6. Step 6: Final answer
    x = 536.13

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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.