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Finding the Fourth Proportional to 527.16, 726.78 and 369.52

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Solution

The fourth proportional to 527.16, 726.78 and 369.52 is: 509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.16 : 726.78 = 369.52 : x
  2. Step 2: Convert to fraction form
    527.16/726.78 = 369.52/x
  3. Step 3: Cross multiply
    527.16x = 726.78 × 369.52
  4. Step 4: Simplify right side
    527.16x = 268,559.75
  5. Step 5: Solve for x
    x = 268,559.75/527.16
  6. Step 6: Final answer
    x = 509.45

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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.