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Finding the Fourth Proportional to 520.97, 718.93 and 284.92

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Solution

The fourth proportional to 520.97, 718.93 and 284.92 is: 393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.97 : 718.93 = 284.92 : x
  2. Step 2: Convert to fraction form
    520.97/718.93 = 284.92/x
  3. Step 3: Cross multiply
    520.97x = 718.93 × 284.92
  4. Step 4: Simplify right side
    520.97x = 204,836.82
  5. Step 5: Solve for x
    x = 204,836.82/520.97
  6. Step 6: Final answer
    x = 393.19

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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.