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Finding the Fourth Proportional to 529.38, 735.58 and 523.67

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Solution

The fourth proportional to 529.38, 735.58 and 523.67 is: 727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.38 : 735.58 = 523.67 : x
  2. Step 2: Convert to fraction form
    529.38/735.58 = 523.67/x
  3. Step 3: Cross multiply
    529.38x = 735.58 × 523.67
  4. Step 4: Simplify right side
    529.38x = 385,201.71
  5. Step 5: Solve for x
    x = 385,201.71/529.38
  6. Step 6: Final answer
    x = 727.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.