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Finding the Fourth Proportional to 515.64, 773.32 and 145.42

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Solution

The fourth proportional to 515.64, 773.32 and 145.42 is: 218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.64 : 773.32 = 145.42 : x
  2. Step 2: Convert to fraction form
    515.64/773.32 = 145.42/x
  3. Step 3: Cross multiply
    515.64x = 773.32 × 145.42
  4. Step 4: Simplify right side
    515.64x = 112,455.47
  5. Step 5: Solve for x
    x = 112,455.47/515.64
  6. Step 6: Final answer
    x = 218.09

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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.