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Finding the Fourth Proportional to 2,246.32, 3,369.40 and 602.78

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Solution

The fourth proportional to 2,246.32, 3,369.40 and 602.78 is: 904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.32 : 3,369.40 = 602.78 : x
  2. Step 2: Convert to fraction form
    2,246.32/3,369.40 = 602.78/x
  3. Step 3: Cross multiply
    2,246.32x = 3,369.40 × 602.78
  4. Step 4: Simplify right side
    2,246.32x = 2,030,990.09
  5. Step 5: Solve for x
    x = 2,030,990.09/2,246.32
  6. Step 6: Final answer
    x = 904.14

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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.