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Finding the Fourth Proportional to 643.36, 959.88 and 555.88

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Solution

The fourth proportional to 643.36, 959.88 and 555.88 is: 829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.36 : 959.88 = 555.88 : x
  2. Step 2: Convert to fraction form
    643.36/959.88 = 555.88/x
  3. Step 3: Cross multiply
    643.36x = 959.88 × 555.88
  4. Step 4: Simplify right side
    643.36x = 533,578.09
  5. Step 5: Solve for x
    x = 533,578.09/643.36
  6. Step 6: Final answer
    x = 829.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.