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Finding the Fourth Proportional to 527.76, 728.10 and 328.45

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Solution

The fourth proportional to 527.76, 728.10 and 328.45 is: 453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.76 : 728.10 = 328.45 : x
  2. Step 2: Convert to fraction form
    527.76/728.10 = 328.45/x
  3. Step 3: Cross multiply
    527.76x = 728.10 × 328.45
  4. Step 4: Simplify right side
    527.76x = 239,142.80
  5. Step 5: Solve for x
    x = 239,142.80/527.76
  6. Step 6: Final answer
    x = 453.13

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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.