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Finding the Fourth Proportional to 527.73, 726.62 and 434.18

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Solution

The fourth proportional to 527.73, 726.62 and 434.18 is: 597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.73 : 726.62 = 434.18 : x
  2. Step 2: Convert to fraction form
    527.73/726.62 = 434.18/x
  3. Step 3: Cross multiply
    527.73x = 726.62 × 434.18
  4. Step 4: Simplify right side
    527.73x = 315,478.07
  5. Step 5: Solve for x
    x = 315,478.07/527.73
  6. Step 6: Final answer
    x = 597.80

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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.