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Finding the Fourth Proportional to 520.90, 718.81 and 284.84

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Solution

The fourth proportional to 520.90, 718.81 and 284.84 is: 393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.90 : 718.81 = 284.84 : x
  2. Step 2: Convert to fraction form
    520.90/718.81 = 284.84/x
  3. Step 3: Cross multiply
    520.90x = 718.81 × 284.84
  4. Step 4: Simplify right side
    520.90x = 204,742.25
  5. Step 5: Solve for x
    x = 204,742.25/520.90
  6. Step 6: Final answer
    x = 393.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.