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Finding the Fourth Proportional to 527, 726.48 and 433.52

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Solution

The fourth proportional to 527, 726.48 and 433.52 is: 597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    527 : 726.48 = 433.52 : x
  2. Step 2: Convert to fraction form
    527/726.48 = 433.52/x
  3. Step 3: Cross multiply
    527x = 726.48 × 433.52
  4. Step 4: Simplify right side
    527x = 314,943.61
  5. Step 5: Solve for x
    x = 314,943.61/527
  6. Step 6: Final answer
    x = 597.62

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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.