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Finding the Fourth Proportional to 528.25, 728.99 and 304.13

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Solution

The fourth proportional to 528.25, 728.99 and 304.13 is: 419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.25 : 728.99 = 304.13 : x
  2. Step 2: Convert to fraction form
    528.25/728.99 = 304.13/x
  3. Step 3: Cross multiply
    528.25x = 728.99 × 304.13
  4. Step 4: Simplify right side
    528.25x = 221,706.69
  5. Step 5: Solve for x
    x = 221,706.69/528.25
  6. Step 6: Final answer
    x = 419.70

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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.