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Finding the Fourth Proportional to 529.17, 792.37 and 285.76

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Solution

The fourth proportional to 529.17, 792.37 and 285.76 is: 427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.17 : 792.37 = 285.76 : x
  2. Step 2: Convert to fraction form
    529.17/792.37 = 285.76/x
  3. Step 3: Cross multiply
    529.17x = 792.37 × 285.76
  4. Step 4: Simplify right side
    529.17x = 226,427.65
  5. Step 5: Solve for x
    x = 226,427.65/529.17
  6. Step 6: Final answer
    x = 427.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.