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Finding the Fourth Proportional to 521.60, 716.40 and 489.46

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Solution

The fourth proportional to 521.60, 716.40 and 489.46 is: 672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.60 : 716.40 = 489.46 : x
  2. Step 2: Convert to fraction form
    521.60/716.40 = 489.46/x
  3. Step 3: Cross multiply
    521.60x = 716.40 × 489.46
  4. Step 4: Simplify right side
    521.60x = 350,649.14
  5. Step 5: Solve for x
    x = 350,649.14/521.60
  6. Step 6: Final answer
    x = 672.26

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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.