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Finding the Fourth Proportional to 521.97, 722.01 and 491.37

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Solution

The fourth proportional to 521.97, 722.01 and 491.37 is: 679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.97 : 722.01 = 491.37 : x
  2. Step 2: Convert to fraction form
    521.97/722.01 = 491.37/x
  3. Step 3: Cross multiply
    521.97x = 722.01 × 491.37
  4. Step 4: Simplify right side
    521.97x = 354,774.05
  5. Step 5: Solve for x
    x = 354,774.05/521.97
  6. Step 6: Final answer
    x = 679.68

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1.5x scale

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.