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Finding the Fourth Proportional to 1,162.40, 1,604.14 and 665.12

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Solution

The fourth proportional to 1,162.40, 1,604.14 and 665.12 is: 917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.40 : 1,604.14 = 665.12 : x
  2. Step 2: Convert to fraction form
    1,162.40/1,604.14 = 665.12/x
  3. Step 3: Cross multiply
    1,162.40x = 1,604.14 × 665.12
  4. Step 4: Simplify right side
    1,162.40x = 1,066,945.60
  5. Step 5: Solve for x
    x = 1,066,945.60/1,162.40
  6. Step 6: Final answer
    x = 917.88

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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.