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Finding the Fourth Proportional to 1,740.50, 2,402.43 and 1,119.50

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Solution

The fourth proportional to 1,740.50, 2,402.43 and 1,119.50 is: 1,545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.50 : 2,402.43 = 1,119.50 : x
  2. Step 2: Convert to fraction form
    1,740.50/2,402.43 = 1,119.50/x
  3. Step 3: Cross multiply
    1,740.50x = 2,402.43 × 1,119.50
  4. Step 4: Simplify right side
    1,740.50x = 2,689,520.39
  5. Step 5: Solve for x
    x = 2,689,520.39/1,740.50
  6. Step 6: Final answer
    x = 1,545.26

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