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Finding the Fourth Proportional to 518.25, 777.60 and 258.51

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Solution

The fourth proportional to 518.25, 777.60 and 258.51 is: 387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.25 : 777.60 = 258.51 : x
  2. Step 2: Convert to fraction form
    518.25/777.60 = 258.51/x
  3. Step 3: Cross multiply
    518.25x = 777.60 × 258.51
  4. Step 4: Simplify right side
    518.25x = 201,017.38
  5. Step 5: Solve for x
    x = 201,017.38/518.25
  6. Step 6: Final answer
    x = 387.88

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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.