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Finding the Fourth Proportional to 1,101.46, 1,651.14 and 370.66

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Solution

The fourth proportional to 1,101.46, 1,651.14 and 370.66 is: 555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.46 : 1,651.14 = 370.66 : x
  2. Step 2: Convert to fraction form
    1,101.46/1,651.14 = 370.66/x
  3. Step 3: Cross multiply
    1,101.46x = 1,651.14 × 370.66
  4. Step 4: Simplify right side
    1,101.46x = 612,011.55
  5. Step 5: Solve for x
    x = 612,011.55/1,101.46
  6. Step 6: Final answer
    x = 555.64

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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.