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Finding the Fourth Proportional to 521.17, 716.28 and 506.59

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Solution

The fourth proportional to 521.17, 716.28 and 506.59 is: 696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.17 : 716.28 = 506.59 : x
  2. Step 2: Convert to fraction form
    521.17/716.28 = 506.59/x
  3. Step 3: Cross multiply
    521.17x = 716.28 × 506.59
  4. Step 4: Simplify right side
    521.17x = 362,856.59
  5. Step 5: Solve for x
    x = 362,856.59/521.17
  6. Step 6: Final answer
    x = 696.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.