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Finding the Fourth Proportional to 528.48, 729.31 and 295.60

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Solution

The fourth proportional to 528.48, 729.31 and 295.60 is: 407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.48 : 729.31 = 295.60 : x
  2. Step 2: Convert to fraction form
    528.48/729.31 = 295.60/x
  3. Step 3: Cross multiply
    528.48x = 729.31 × 295.60
  4. Step 4: Simplify right side
    528.48x = 215,584.04
  5. Step 5: Solve for x
    x = 215,584.04/528.48
  6. Step 6: Final answer
    x = 407.93

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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.