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Finding the Fourth Proportional to 1,353.03, 1,867.31 and 821.79

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Solution

The fourth proportional to 1,353.03, 1,867.31 and 821.79 is: 1,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.03 : 1,867.31 = 821.79 : x
  2. Step 2: Convert to fraction form
    1,353.03/1,867.31 = 821.79/x
  3. Step 3: Cross multiply
    1,353.03x = 1,867.31 × 821.79
  4. Step 4: Simplify right side
    1,353.03x = 1,534,523.24
  5. Step 5: Solve for x
    x = 1,534,523.24/1,353.03
  6. Step 6: Final answer
    x = 1,134.14

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1.5x scale

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.