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Finding the Fourth Proportional to 527.02, 726.74 and 453.58

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Solution

The fourth proportional to 527.02, 726.74 and 453.58 is: 625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.02 : 726.74 = 453.58 : x
  2. Step 2: Convert to fraction form
    527.02/726.74 = 453.58/x
  3. Step 3: Cross multiply
    527.02x = 726.74 × 453.58
  4. Step 4: Simplify right side
    527.02x = 329,634.73
  5. Step 5: Solve for x
    x = 329,634.73/527.02
  6. Step 6: Final answer
    x = 625.47

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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.