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Finding the Fourth Proportional to 1,695.75, 2,340.34 and 997.13

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Solution

The fourth proportional to 1,695.75, 2,340.34 and 997.13 is: 1,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.75 : 2,340.34 = 997.13 : x
  2. Step 2: Convert to fraction form
    1,695.75/2,340.34 = 997.13/x
  3. Step 3: Cross multiply
    1,695.75x = 2,340.34 × 997.13
  4. Step 4: Simplify right side
    1,695.75x = 2,333,611.52
  5. Step 5: Solve for x
    x = 2,333,611.52/1,695.75
  6. Step 6: Final answer
    x = 1,376.15

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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.