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Finding the Fourth Proportional to 527.05, 726.55 and 433.63

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Solution

The fourth proportional to 527.05, 726.55 and 433.63 is: 597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.05 : 726.55 = 433.63 : x
  2. Step 2: Convert to fraction form
    527.05/726.55 = 433.63/x
  3. Step 3: Cross multiply
    527.05x = 726.55 × 433.63
  4. Step 4: Simplify right side
    527.05x = 315,053.88
  5. Step 5: Solve for x
    x = 315,053.88/527.05
  6. Step 6: Final answer
    x = 597.77

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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.