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Finding the Fourth Proportional to 523.10, 788.25 and 433.79

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Solution

The fourth proportional to 523.10, 788.25 and 433.79 is: 653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.10 : 788.25 = 433.79 : x
  2. Step 2: Convert to fraction form
    523.10/788.25 = 433.79/x
  3. Step 3: Cross multiply
    523.10x = 788.25 × 433.79
  4. Step 4: Simplify right side
    523.10x = 341,934.97
  5. Step 5: Solve for x
    x = 341,934.97/523.10
  6. Step 6: Final answer
    x = 653.67

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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.