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Finding the Fourth Proportional to 520.62, 777.18 and 484.17

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Solution

The fourth proportional to 520.62, 777.18 and 484.17 is: 722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.62 : 777.18 = 484.17 : x
  2. Step 2: Convert to fraction form
    520.62/777.18 = 484.17/x
  3. Step 3: Cross multiply
    520.62x = 777.18 × 484.17
  4. Step 4: Simplify right side
    520.62x = 376,287.24
  5. Step 5: Solve for x
    x = 376,287.24/520.62
  6. Step 6: Final answer
    x = 722.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.