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Finding the Fourth Proportional to 527.86, 727.95 and 403.57

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Solution

The fourth proportional to 527.86, 727.95 and 403.57 is: 556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.86 : 727.95 = 403.57 : x
  2. Step 2: Convert to fraction form
    527.86/727.95 = 403.57/x
  3. Step 3: Cross multiply
    527.86x = 727.95 × 403.57
  4. Step 4: Simplify right side
    527.86x = 293,778.78
  5. Step 5: Solve for x
    x = 293,778.78/527.86
  6. Step 6: Final answer
    x = 556.55

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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.