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Finding the Fourth Proportional to 1,418.64, 2,128.20 and 494.28

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Solution

The fourth proportional to 1,418.64, 2,128.20 and 494.28 is: 741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.64 : 2,128.20 = 494.28 : x
  2. Step 2: Convert to fraction form
    1,418.64/2,128.20 = 494.28/x
  3. Step 3: Cross multiply
    1,418.64x = 2,128.20 × 494.28
  4. Step 4: Simplify right side
    1,418.64x = 1,051,926.70
  5. Step 5: Solve for x
    x = 1,051,926.70/1,418.64
  6. Step 6: Final answer
    x = 741.50

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1.5x scale

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.