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Finding the Fourth Proportional to 1,429.28, 2,144 and 607.04

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Solution

The fourth proportional to 1,429.28, 2,144 and 607.04 is: 910.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.28 : 2,144 = 607.04 : x
  2. Step 2: Convert to fraction form
    1,429.28/2,144 = 607.04/x
  3. Step 3: Cross multiply
    1,429.28x = 2,144 × 607.04
  4. Step 4: Simplify right side
    1,429.28x = 1,301,493.76
  5. Step 5: Solve for x
    x = 1,301,493.76/1,429.28
  6. Step 6: Final answer
    x = 910.59

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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.