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Finding the Fourth Proportional to 529.76, 793.96 and 391.72

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Solution

The fourth proportional to 529.76, 793.96 and 391.72 is: 587.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.76 : 793.96 = 391.72 : x
  2. Step 2: Convert to fraction form
    529.76/793.96 = 391.72/x
  3. Step 3: Cross multiply
    529.76x = 793.96 × 391.72
  4. Step 4: Simplify right side
    529.76x = 311,010.01
  5. Step 5: Solve for x
    x = 311,010.01/529.76
  6. Step 6: Final answer
    x = 587.08

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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.