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Finding the Fourth Proportional to 1,156.14, 1,734.20 and 997.58

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Solution

The fourth proportional to 1,156.14, 1,734.20 and 997.58 is: 1,496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.14 : 1,734.20 = 997.58 : x
  2. Step 2: Convert to fraction form
    1,156.14/1,734.20 = 997.58/x
  3. Step 3: Cross multiply
    1,156.14x = 1,734.20 × 997.58
  4. Step 4: Simplify right side
    1,156.14x = 1,730,003.24
  5. Step 5: Solve for x
    x = 1,730,003.24/1,156.14
  6. Step 6: Final answer
    x = 1,496.36

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1.5x scale

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.