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Finding the Fourth Proportional to 1,074.49, 1,482.66 and 654.86

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Solution

The fourth proportional to 1,074.49, 1,482.66 and 654.86 is: 903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.49 : 1,482.66 = 654.86 : x
  2. Step 2: Convert to fraction form
    1,074.49/1,482.66 = 654.86/x
  3. Step 3: Cross multiply
    1,074.49x = 1,482.66 × 654.86
  4. Step 4: Simplify right side
    1,074.49x = 970,938.43
  5. Step 5: Solve for x
    x = 970,938.43/1,074.49
  6. Step 6: Final answer
    x = 903.63

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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.