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Finding the Fourth Proportional to 521.31, 718.69 and 416.75

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Solution

The fourth proportional to 521.31, 718.69 and 416.75 is: 574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.31 : 718.69 = 416.75 : x
  2. Step 2: Convert to fraction form
    521.31/718.69 = 416.75/x
  3. Step 3: Cross multiply
    521.31x = 718.69 × 416.75
  4. Step 4: Simplify right side
    521.31x = 299,514.06
  5. Step 5: Solve for x
    x = 299,514.06/521.31
  6. Step 6: Final answer
    x = 574.54

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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.