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Finding the Fourth Proportional to 1,163.02, 1,752.53 and 962.11

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Solution

The fourth proportional to 1,163.02, 1,752.53 and 962.11 is: 1,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.02 : 1,752.53 = 962.11 : x
  2. Step 2: Convert to fraction form
    1,163.02/1,752.53 = 962.11/x
  3. Step 3: Cross multiply
    1,163.02x = 1,752.53 × 962.11
  4. Step 4: Simplify right side
    1,163.02x = 1,686,126.64
  5. Step 5: Solve for x
    x = 1,686,126.64/1,163.02
  6. Step 6: Final answer
    x = 1,449.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.