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Finding the Fourth Proportional to 517.82, 776.81 and 152.57

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Solution

The fourth proportional to 517.82, 776.81 and 152.57 is: 228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.82 : 776.81 = 152.57 : x
  2. Step 2: Convert to fraction form
    517.82/776.81 = 152.57/x
  3. Step 3: Cross multiply
    517.82x = 776.81 × 152.57
  4. Step 4: Simplify right side
    517.82x = 118,514.40
  5. Step 5: Solve for x
    x = 118,514.40/517.82
  6. Step 6: Final answer
    x = 228.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.