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Finding the Fourth Proportional to 528.60, 728.82 and 461.94

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Solution

The fourth proportional to 528.60, 728.82 and 461.94 is: 636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.60 : 728.82 = 461.94 : x
  2. Step 2: Convert to fraction form
    528.60/728.82 = 461.94/x
  3. Step 3: Cross multiply
    528.60x = 728.82 × 461.94
  4. Step 4: Simplify right side
    528.60x = 336,671.11
  5. Step 5: Solve for x
    x = 336,671.11/528.60
  6. Step 6: Final answer
    x = 636.91

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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.