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Finding the Fourth Proportional to 1,657.98, 2,290.05 and 1,240.20

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Solution

The fourth proportional to 1,657.98, 2,290.05 and 1,240.20 is: 1,713.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.98 : 2,290.05 = 1,240.20 : x
  2. Step 2: Convert to fraction form
    1,657.98/2,290.05 = 1,240.20/x
  3. Step 3: Cross multiply
    1,657.98x = 2,290.05 × 1,240.20
  4. Step 4: Simplify right side
    1,657.98x = 2,840,120.01
  5. Step 5: Solve for x
    x = 2,840,120.01/1,657.98
  6. Step 6: Final answer
    x = 1,713.00

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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.