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Finding the Fourth Proportional to 521.12, 776.36 and 488

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Solution

The fourth proportional to 521.12, 776.36 and 488 is: 727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.12 : 776.36 = 488 : x
  2. Step 2: Convert to fraction form
    521.12/776.36 = 488/x
  3. Step 3: Cross multiply
    521.12x = 776.36 × 488
  4. Step 4: Simplify right side
    521.12x = 378,863.68
  5. Step 5: Solve for x
    x = 378,863.68/521.12
  6. Step 6: Final answer
    x = 727.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.