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Finding the Fourth Proportional to 1,768.12, 2,651.46 and 535.12

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Solution

The fourth proportional to 1,768.12, 2,651.46 and 535.12 is: 802.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.12 : 2,651.46 = 535.12 : x
  2. Step 2: Convert to fraction form
    1,768.12/2,651.46 = 535.12/x
  3. Step 3: Cross multiply
    1,768.12x = 2,651.46 × 535.12
  4. Step 4: Simplify right side
    1,768.12x = 1,418,849.28
  5. Step 5: Solve for x
    x = 1,418,849.28/1,768.12
  6. Step 6: Final answer
    x = 802.46

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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.