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Finding the Fourth Proportional to 527.48, 786.94 and 508.57

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Solution

The fourth proportional to 527.48, 786.94 and 508.57 is: 758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.48 : 786.94 = 508.57 : x
  2. Step 2: Convert to fraction form
    527.48/786.94 = 508.57/x
  3. Step 3: Cross multiply
    527.48x = 786.94 × 508.57
  4. Step 4: Simplify right side
    527.48x = 400,214.08
  5. Step 5: Solve for x
    x = 400,214.08/527.48
  6. Step 6: Final answer
    x = 758.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.