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Finding the Fourth Proportional to 1,077.68, 1,616.28 and 428.24

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Solution

The fourth proportional to 1,077.68, 1,616.28 and 428.24 is: 642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.68 : 1,616.28 = 428.24 : x
  2. Step 2: Convert to fraction form
    1,077.68/1,616.28 = 428.24/x
  3. Step 3: Cross multiply
    1,077.68x = 1,616.28 × 428.24
  4. Step 4: Simplify right side
    1,077.68x = 692,155.75
  5. Step 5: Solve for x
    x = 692,155.75/1,077.68
  6. Step 6: Final answer
    x = 642.26

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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.