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Finding the Fourth Proportional to 1,737.10, 2,600.52 and 1,150.98

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Solution

The fourth proportional to 1,737.10, 2,600.52 and 1,150.98 is: 1,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.10 : 2,600.52 = 1,150.98 : x
  2. Step 2: Convert to fraction form
    1,737.10/2,600.52 = 1,150.98/x
  3. Step 3: Cross multiply
    1,737.10x = 2,600.52 × 1,150.98
  4. Step 4: Simplify right side
    1,737.10x = 2,993,146.51
  5. Step 5: Solve for x
    x = 2,993,146.51/1,737.10
  6. Step 6: Final answer
    x = 1,723.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.