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Finding the Fourth Proportional to 801.91, 1,106.49 and 522.07

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Solution

The fourth proportional to 801.91, 1,106.49 and 522.07 is: 720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.91 : 1,106.49 = 522.07 : x
  2. Step 2: Convert to fraction form
    801.91/1,106.49 = 522.07/x
  3. Step 3: Cross multiply
    801.91x = 1,106.49 × 522.07
  4. Step 4: Simplify right side
    801.91x = 577,665.23
  5. Step 5: Solve for x
    x = 577,665.23/801.91
  6. Step 6: Final answer
    x = 720.36

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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.