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Finding the Fourth Proportional to 527.36, 728.16 and 411.20

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Solution

The fourth proportional to 527.36, 728.16 and 411.20 is: 567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.36 : 728.16 = 411.20 : x
  2. Step 2: Convert to fraction form
    527.36/728.16 = 411.20/x
  3. Step 3: Cross multiply
    527.36x = 728.16 × 411.20
  4. Step 4: Simplify right side
    527.36x = 299,419.39
  5. Step 5: Solve for x
    x = 299,419.39/527.36
  6. Step 6: Final answer
    x = 567.77

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Double scale
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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.