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Finding the Fourth Proportional to 1,569.28, 2,351.49 and 990.94

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Solution

The fourth proportional to 1,569.28, 2,351.49 and 990.94 is: 1,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.28 : 2,351.49 = 990.94 : x
  2. Step 2: Convert to fraction form
    1,569.28/2,351.49 = 990.94/x
  3. Step 3: Cross multiply
    1,569.28x = 2,351.49 × 990.94
  4. Step 4: Simplify right side
    1,569.28x = 2,330,174.67
  5. Step 5: Solve for x
    x = 2,330,174.67/1,569.28
  6. Step 6: Final answer
    x = 1,484.87

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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.