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Finding the Fourth Proportional to 521.30, 718.56 and 410.60

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Solution

The fourth proportional to 521.30, 718.56 and 410.60 is: 565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.30 : 718.56 = 410.60 : x
  2. Step 2: Convert to fraction form
    521.30/718.56 = 410.60/x
  3. Step 3: Cross multiply
    521.30x = 718.56 × 410.60
  4. Step 4: Simplify right side
    521.30x = 295,040.74
  5. Step 5: Solve for x
    x = 295,040.74/521.30
  6. Step 6: Final answer
    x = 565.97

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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.