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Finding the Fourth Proportional to 1,435.99, 2,153.82 and 742.27

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Solution

The fourth proportional to 1,435.99, 2,153.82 and 742.27 is: 1,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.99 : 2,153.82 = 742.27 : x
  2. Step 2: Convert to fraction form
    1,435.99/2,153.82 = 742.27/x
  3. Step 3: Cross multiply
    1,435.99x = 2,153.82 × 742.27
  4. Step 4: Simplify right side
    1,435.99x = 1,598,715.97
  5. Step 5: Solve for x
    x = 1,598,715.97/1,435.99
  6. Step 6: Final answer
    x = 1,113.32

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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.