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Finding the Fourth Proportional to 1,170.74, 1,604.17 and 1,159.94

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Solution

The fourth proportional to 1,170.74, 1,604.17 and 1,159.94 is: 1,589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.74 : 1,604.17 = 1,159.94 : x
  2. Step 2: Convert to fraction form
    1,170.74/1,604.17 = 1,159.94/x
  3. Step 3: Cross multiply
    1,170.74x = 1,604.17 × 1,159.94
  4. Step 4: Simplify right side
    1,170.74x = 1,860,740.95
  5. Step 5: Solve for x
    x = 1,860,740.95/1,170.74
  6. Step 6: Final answer
    x = 1,589.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.