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Finding the Fourth Proportional to 1,120.48, 1,546.08 and 654.56

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Solution

The fourth proportional to 1,120.48, 1,546.08 and 654.56 is: 903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.48 : 1,546.08 = 654.56 : x
  2. Step 2: Convert to fraction form
    1,120.48/1,546.08 = 654.56/x
  3. Step 3: Cross multiply
    1,120.48x = 1,546.08 × 654.56
  4. Step 4: Simplify right side
    1,120.48x = 1,012,002.12
  5. Step 5: Solve for x
    x = 1,012,002.12/1,120.48
  6. Step 6: Final answer
    x = 903.19

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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.