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Finding the Fourth Proportional to 520.69, 718.55 and 287.82

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Solution

The fourth proportional to 520.69, 718.55 and 287.82 is: 397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.69 : 718.55 = 287.82 : x
  2. Step 2: Convert to fraction form
    520.69/718.55 = 287.82/x
  3. Step 3: Cross multiply
    520.69x = 718.55 × 287.82
  4. Step 4: Simplify right side
    520.69x = 206,809.47
  5. Step 5: Solve for x
    x = 206,809.47/520.69
  6. Step 6: Final answer
    x = 397.18

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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.