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Finding the Fourth Proportional to 642.82, 881.64 and 616.36

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Solution

The fourth proportional to 642.82, 881.64 and 616.36 is: 845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.82 : 881.64 = 616.36 : x
  2. Step 2: Convert to fraction form
    642.82/881.64 = 616.36/x
  3. Step 3: Cross multiply
    642.82x = 881.64 × 616.36
  4. Step 4: Simplify right side
    642.82x = 543,407.63
  5. Step 5: Solve for x
    x = 543,407.63/642.82
  6. Step 6: Final answer
    x = 845.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.