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Finding the Fourth Proportional to 1,077.26, 1,616.14 and 428

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Solution

The fourth proportional to 1,077.26, 1,616.14 and 428 is: 642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.26 : 1,616.14 = 428 : x
  2. Step 2: Convert to fraction form
    1,077.26/1,616.14 = 428/x
  3. Step 3: Cross multiply
    1,077.26x = 1,616.14 × 428
  4. Step 4: Simplify right side
    1,077.26x = 691,707.92
  5. Step 5: Solve for x
    x = 691,707.92/1,077.26
  6. Step 6: Final answer
    x = 642.10

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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.