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Finding the Fourth Proportional to 1,494.04, 2,241.08 and 454.08

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Solution

The fourth proportional to 1,494.04, 2,241.08 and 454.08 is: 681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.04 : 2,241.08 = 454.08 : x
  2. Step 2: Convert to fraction form
    1,494.04/2,241.08 = 454.08/x
  3. Step 3: Cross multiply
    1,494.04x = 2,241.08 × 454.08
  4. Step 4: Simplify right side
    1,494.04x = 1,017,629.61
  5. Step 5: Solve for x
    x = 1,017,629.61/1,494.04
  6. Step 6: Final answer
    x = 681.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.