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Finding the Fourth Proportional to 1,598.50, 2,387.99 and 1,274.23

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Solution

The fourth proportional to 1,598.50, 2,387.99 and 1,274.23 is: 1,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.50 : 2,387.99 = 1,274.23 : x
  2. Step 2: Convert to fraction form
    1,598.50/2,387.99 = 1,274.23/x
  3. Step 3: Cross multiply
    1,598.50x = 2,387.99 × 1,274.23
  4. Step 4: Simplify right side
    1,598.50x = 3,042,848.50
  5. Step 5: Solve for x
    x = 3,042,848.50/1,598.50
  6. Step 6: Final answer
    x = 1,903.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.