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Finding the Fourth Proportional to 520.99, 718.96 and 288.12

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Solution

The fourth proportional to 520.99, 718.96 and 288.12 is: 397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.99 : 718.96 = 288.12 : x
  2. Step 2: Convert to fraction form
    520.99/718.96 = 288.12/x
  3. Step 3: Cross multiply
    520.99x = 718.96 × 288.12
  4. Step 4: Simplify right side
    520.99x = 207,141.72
  5. Step 5: Solve for x
    x = 207,141.72/520.99
  6. Step 6: Final answer
    x = 397.59

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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.