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Finding the Fourth Proportional to 521.16, 722.03 and 511.40

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Solution

The fourth proportional to 521.16, 722.03 and 511.40 is: 708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.16 : 722.03 = 511.40 : x
  2. Step 2: Convert to fraction form
    521.16/722.03 = 511.40/x
  3. Step 3: Cross multiply
    521.16x = 722.03 × 511.40
  4. Step 4: Simplify right side
    521.16x = 369,246.14
  5. Step 5: Solve for x
    x = 369,246.14/521.16
  6. Step 6: Final answer
    x = 708.51

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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.