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Finding the Fourth Proportional to 518.64, 780.84 and 357.38

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Solution

The fourth proportional to 518.64, 780.84 and 357.38 is: 538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.64 : 780.84 = 357.38 : x
  2. Step 2: Convert to fraction form
    518.64/780.84 = 357.38/x
  3. Step 3: Cross multiply
    518.64x = 780.84 × 357.38
  4. Step 4: Simplify right side
    518.64x = 279,056.60
  5. Step 5: Solve for x
    x = 279,056.60/518.64
  6. Step 6: Final answer
    x = 538.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.