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Finding the Fourth Proportional to 528.14, 728.79 and 295.22

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Solution

The fourth proportional to 528.14, 728.79 and 295.22 is: 407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.14 : 728.79 = 295.22 : x
  2. Step 2: Convert to fraction form
    528.14/728.79 = 295.22/x
  3. Step 3: Cross multiply
    528.14x = 728.79 × 295.22
  4. Step 4: Simplify right side
    528.14x = 215,153.03
  5. Step 5: Solve for x
    x = 215,153.03/528.14
  6. Step 6: Final answer
    x = 407.38

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Double scale
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1.5x scale

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.