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Finding the Fourth Proportional to 1,071.22, 1,605.28 and 522.78

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Solution

The fourth proportional to 1,071.22, 1,605.28 and 522.78 is: 783.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.22 : 1,605.28 = 522.78 : x
  2. Step 2: Convert to fraction form
    1,071.22/1,605.28 = 522.78/x
  3. Step 3: Cross multiply
    1,071.22x = 1,605.28 × 522.78
  4. Step 4: Simplify right side
    1,071.22x = 839,208.28
  5. Step 5: Solve for x
    x = 839,208.28/1,071.22
  6. Step 6: Final answer
    x = 783.41

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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.