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Finding the Fourth Proportional to 527.29, 727.86 and 347.80

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Solution

The fourth proportional to 527.29, 727.86 and 347.80 is: 480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.29 : 727.86 = 347.80 : x
  2. Step 2: Convert to fraction form
    527.29/727.86 = 347.80/x
  3. Step 3: Cross multiply
    527.29x = 727.86 × 347.80
  4. Step 4: Simplify right side
    527.29x = 253,153.22
  5. Step 5: Solve for x
    x = 253,153.22/527.29
  6. Step 6: Final answer
    x = 480.11

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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.