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Finding the Fourth Proportional to 1,695.88, 2,340.69 and 997.48

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Solution

The fourth proportional to 1,695.88, 2,340.69 and 997.48 is: 1,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.88 : 2,340.69 = 997.48 : x
  2. Step 2: Convert to fraction form
    1,695.88/2,340.69 = 997.48/x
  3. Step 3: Cross multiply
    1,695.88x = 2,340.69 × 997.48
  4. Step 4: Simplify right side
    1,695.88x = 2,334,791.46
  5. Step 5: Solve for x
    x = 2,334,791.46/1,695.88
  6. Step 6: Final answer
    x = 1,376.74

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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.