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Finding the Fourth Proportional to 1,162.16, 1,604.49 and 764.45

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Solution

The fourth proportional to 1,162.16, 1,604.49 and 764.45 is: 1,055.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.16 : 1,604.49 = 764.45 : x
  2. Step 2: Convert to fraction form
    1,162.16/1,604.49 = 764.45/x
  3. Step 3: Cross multiply
    1,162.16x = 1,604.49 × 764.45
  4. Step 4: Simplify right side
    1,162.16x = 1,226,548.56
  5. Step 5: Solve for x
    x = 1,226,548.56/1,162.16
  6. Step 6: Final answer
    x = 1,055.40

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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.