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Finding the Fourth Proportional to 529.76, 793.74 and 334.28

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Solution

The fourth proportional to 529.76, 793.74 and 334.28 is: 500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.76 : 793.74 = 334.28 : x
  2. Step 2: Convert to fraction form
    529.76/793.74 = 334.28/x
  3. Step 3: Cross multiply
    529.76x = 793.74 × 334.28
  4. Step 4: Simplify right side
    529.76x = 265,331.41
  5. Step 5: Solve for x
    x = 265,331.41/529.76
  6. Step 6: Final answer
    x = 500.85

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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.