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Finding the Fourth Proportional to 1,143.36, 1,718.87 and 902.79

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Solution

The fourth proportional to 1,143.36, 1,718.87 and 902.79 is: 1,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.36 : 1,718.87 = 902.79 : x
  2. Step 2: Convert to fraction form
    1,143.36/1,718.87 = 902.79/x
  3. Step 3: Cross multiply
    1,143.36x = 1,718.87 × 902.79
  4. Step 4: Simplify right side
    1,143.36x = 1,551,774.13
  5. Step 5: Solve for x
    x = 1,551,774.13/1,143.36
  6. Step 6: Final answer
    x = 1,357.21

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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.