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Finding the Fourth Proportional to 527.48, 728.80 and 409.94

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Solution

The fourth proportional to 527.48, 728.80 and 409.94 is: 566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.48 : 728.80 = 409.94 : x
  2. Step 2: Convert to fraction form
    527.48/728.80 = 409.94/x
  3. Step 3: Cross multiply
    527.48x = 728.80 × 409.94
  4. Step 4: Simplify right side
    527.48x = 298,764.27
  5. Step 5: Solve for x
    x = 298,764.27/527.48
  6. Step 6: Final answer
    x = 566.40

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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.