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Finding the Fourth Proportional to 527.63, 727.53 and 340.87

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Solution

The fourth proportional to 527.63, 727.53 and 340.87 is: 470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.63 : 727.53 = 340.87 : x
  2. Step 2: Convert to fraction form
    527.63/727.53 = 340.87/x
  3. Step 3: Cross multiply
    527.63x = 727.53 × 340.87
  4. Step 4: Simplify right side
    527.63x = 247,993.15
  5. Step 5: Solve for x
    x = 247,993.15/527.63
  6. Step 6: Final answer
    x = 470.02

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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.