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Finding the Fourth Proportional to 1,335.82, 2,004.18 and 514.12

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Solution

The fourth proportional to 1,335.82, 2,004.18 and 514.12 is: 771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.82 : 2,004.18 = 514.12 : x
  2. Step 2: Convert to fraction form
    1,335.82/2,004.18 = 514.12/x
  3. Step 3: Cross multiply
    1,335.82x = 2,004.18 × 514.12
  4. Step 4: Simplify right side
    1,335.82x = 1,030,389.02
  5. Step 5: Solve for x
    x = 1,030,389.02/1,335.82
  6. Step 6: Final answer
    x = 771.35

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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.