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Finding the Fourth Proportional to 1,203.49, 1,659.99 and 737.74

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Solution

The fourth proportional to 1,203.49, 1,659.99 and 737.74 is: 1,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.49 : 1,659.99 = 737.74 : x
  2. Step 2: Convert to fraction form
    1,203.49/1,659.99 = 737.74/x
  3. Step 3: Cross multiply
    1,203.49x = 1,659.99 × 737.74
  4. Step 4: Simplify right side
    1,203.49x = 1,224,641.02
  5. Step 5: Solve for x
    x = 1,224,641.02/1,203.49
  6. Step 6: Final answer
    x = 1,017.57

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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.