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Finding the Fourth Proportional to 517.54, 776.31 and 152.33

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Solution

The fourth proportional to 517.54, 776.31 and 152.33 is: 228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.54 : 776.31 = 152.33 : x
  2. Step 2: Convert to fraction form
    517.54/776.31 = 152.33/x
  3. Step 3: Cross multiply
    517.54x = 776.31 × 152.33
  4. Step 4: Simplify right side
    517.54x = 118,255.30
  5. Step 5: Solve for x
    x = 118,255.30/517.54
  6. Step 6: Final answer
    x = 228.50

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Double scale
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Similar ratio
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1.5x scale

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.