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Finding the Fourth Proportional to 2,303.71, 3,455.57 and 660.27

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Solution

The fourth proportional to 2,303.71, 3,455.57 and 660.27 is: 990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.71 : 3,455.57 = 660.27 : x
  2. Step 2: Convert to fraction form
    2,303.71/3,455.57 = 660.27/x
  3. Step 3: Cross multiply
    2,303.71x = 3,455.57 × 660.27
  4. Step 4: Simplify right side
    2,303.71x = 2,281,604.38
  5. Step 5: Solve for x
    x = 2,281,604.38/2,303.71
  6. Step 6: Final answer
    x = 990.40

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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.