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Finding the Fourth Proportional to 529.78, 730.83 and 459.74

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Solution

The fourth proportional to 529.78, 730.83 and 459.74 is: 634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.78 : 730.83 = 459.74 : x
  2. Step 2: Convert to fraction form
    529.78/730.83 = 459.74/x
  3. Step 3: Cross multiply
    529.78x = 730.83 × 459.74
  4. Step 4: Simplify right side
    529.78x = 335,991.11
  5. Step 5: Solve for x
    x = 335,991.11/529.78
  6. Step 6: Final answer
    x = 634.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.