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Finding the Fourth Proportional to 1,078.56, 1,616.80 and 429.12

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Solution

The fourth proportional to 1,078.56, 1,616.80 and 429.12 is: 643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.56 : 1,616.80 = 429.12 : x
  2. Step 2: Convert to fraction form
    1,078.56/1,616.80 = 429.12/x
  3. Step 3: Cross multiply
    1,078.56x = 1,616.80 × 429.12
  4. Step 4: Simplify right side
    1,078.56x = 693,801.22
  5. Step 5: Solve for x
    x = 693,801.22/1,078.56
  6. Step 6: Final answer
    x = 643.27

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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.