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Finding the Fourth Proportional to 1,703.57, 2,350.50 and 1,040.18

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Solution

The fourth proportional to 1,703.57, 2,350.50 and 1,040.18 is: 1,435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.57 : 2,350.50 = 1,040.18 : x
  2. Step 2: Convert to fraction form
    1,703.57/2,350.50 = 1,040.18/x
  3. Step 3: Cross multiply
    1,703.57x = 2,350.50 × 1,040.18
  4. Step 4: Simplify right side
    1,703.57x = 2,444,943.09
  5. Step 5: Solve for x
    x = 2,444,943.09/1,703.57
  6. Step 6: Final answer
    x = 1,435.19

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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.