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Finding the Fourth Proportional to 529.76, 793.74 and 517.02

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Solution

The fourth proportional to 529.76, 793.74 and 517.02 is: 774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.76 : 793.74 = 517.02 : x
  2. Step 2: Convert to fraction form
    529.76/793.74 = 517.02/x
  3. Step 3: Cross multiply
    529.76x = 793.74 × 517.02
  4. Step 4: Simplify right side
    529.76x = 410,379.45
  5. Step 5: Solve for x
    x = 410,379.45/529.76
  6. Step 6: Final answer
    x = 774.65

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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.