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Finding the Fourth Proportional to 642.44, 959.01 and 556.36

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Solution

The fourth proportional to 642.44, 959.01 and 556.36 is: 830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.44 : 959.01 = 556.36 : x
  2. Step 2: Convert to fraction form
    642.44/959.01 = 556.36/x
  3. Step 3: Cross multiply
    642.44x = 959.01 × 556.36
  4. Step 4: Simplify right side
    642.44x = 533,554.80
  5. Step 5: Solve for x
    x = 533,554.80/642.44
  6. Step 6: Final answer
    x = 830.51

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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.