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Finding the Fourth Proportional to 521.16, 722.58 and 498.48

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Solution

The fourth proportional to 521.16, 722.58 and 498.48 is: 691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.16 : 722.58 = 498.48 : x
  2. Step 2: Convert to fraction form
    521.16/722.58 = 498.48/x
  3. Step 3: Cross multiply
    521.16x = 722.58 × 498.48
  4. Step 4: Simplify right side
    521.16x = 360,191.68
  5. Step 5: Solve for x
    x = 360,191.68/521.16
  6. Step 6: Final answer
    x = 691.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.