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Finding the Fourth Proportional to 529.14, 790.19 and 523.42

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Solution

The fourth proportional to 529.14, 790.19 and 523.42 is: 781.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.14 : 790.19 = 523.42 : x
  2. Step 2: Convert to fraction form
    529.14/790.19 = 523.42/x
  3. Step 3: Cross multiply
    529.14x = 790.19 × 523.42
  4. Step 4: Simplify right side
    529.14x = 413,600.58
  5. Step 5: Solve for x
    x = 413,600.58/529.14
  6. Step 6: Final answer
    x = 781.65

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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.