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Finding the Fourth Proportional to 521.10, 785.23 and 431.79

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Solution

The fourth proportional to 521.10, 785.23 and 431.79 is: 650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.10 : 785.23 = 431.79 : x
  2. Step 2: Convert to fraction form
    521.10/785.23 = 431.79/x
  3. Step 3: Cross multiply
    521.10x = 785.23 × 431.79
  4. Step 4: Simplify right side
    521.10x = 339,054.46
  5. Step 5: Solve for x
    x = 339,054.46/521.10
  6. Step 6: Final answer
    x = 650.65

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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.