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Finding the Fourth Proportional to 1,170.93, 1,616.21 and 698.68

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Solution

The fourth proportional to 1,170.93, 1,616.21 and 698.68 is: 964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.93 : 1,616.21 = 698.68 : x
  2. Step 2: Convert to fraction form
    1,170.93/1,616.21 = 698.68/x
  3. Step 3: Cross multiply
    1,170.93x = 1,616.21 × 698.68
  4. Step 4: Simplify right side
    1,170.93x = 1,129,211.31
  5. Step 5: Solve for x
    x = 1,129,211.31/1,170.93
  6. Step 6: Final answer
    x = 964.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.