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Finding the Fourth Proportional to 517.53, 776.41 and 152.32

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Solution

The fourth proportional to 517.53, 776.41 and 152.32 is: 228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.53 : 776.41 = 152.32 : x
  2. Step 2: Convert to fraction form
    517.53/776.41 = 152.32/x
  3. Step 3: Cross multiply
    517.53x = 776.41 × 152.32
  4. Step 4: Simplify right side
    517.53x = 118,262.77
  5. Step 5: Solve for x
    x = 118,262.77/517.53
  6. Step 6: Final answer
    x = 228.51

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Similar ratio
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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.