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Finding the Fourth Proportional to 642.36, 886.40 and 376.82

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Solution

The fourth proportional to 642.36, 886.40 and 376.82 is: 519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.36 : 886.40 = 376.82 : x
  2. Step 2: Convert to fraction form
    642.36/886.40 = 376.82/x
  3. Step 3: Cross multiply
    642.36x = 886.40 × 376.82
  4. Step 4: Simplify right side
    642.36x = 334,013.25
  5. Step 5: Solve for x
    x = 334,013.25/642.36
  6. Step 6: Final answer
    x = 519.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.