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Finding the Fourth Proportional to 521.28, 785.16 and 490.32

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Solution

The fourth proportional to 521.28, 785.16 and 490.32 is: 738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.28 : 785.16 = 490.32 : x
  2. Step 2: Convert to fraction form
    521.28/785.16 = 490.32/x
  3. Step 3: Cross multiply
    521.28x = 785.16 × 490.32
  4. Step 4: Simplify right side
    521.28x = 384,979.65
  5. Step 5: Solve for x
    x = 384,979.65/521.28
  6. Step 6: Final answer
    x = 738.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.