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Finding the Fourth Proportional to 772.00, 1,066.27 and 522.89

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Solution

The fourth proportional to 772.00, 1,066.27 and 522.89 is: 722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.00 : 1,066.27 = 522.89 : x
  2. Step 2: Convert to fraction form
    772.00/1,066.27 = 522.89/x
  3. Step 3: Cross multiply
    772.00x = 1,066.27 × 522.89
  4. Step 4: Simplify right side
    772.00x = 557,533.97
  5. Step 5: Solve for x
    x = 557,533.97/772.00
  6. Step 6: Final answer
    x = 722.20

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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.