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Finding the Fourth Proportional to 801.32, 1,106.03 and 522.32

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Solution

The fourth proportional to 801.32, 1,106.03 and 522.32 is: 720.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.32 : 1,106.03 = 522.32 : x
  2. Step 2: Convert to fraction form
    801.32/1,106.03 = 522.32/x
  3. Step 3: Cross multiply
    801.32x = 1,106.03 × 522.32
  4. Step 4: Simplify right side
    801.32x = 577,701.59
  5. Step 5: Solve for x
    x = 577,701.59/801.32
  6. Step 6: Final answer
    x = 720.94

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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.