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Finding the Fourth Proportional to 520.16, 777.12 and 387.84

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Solution

The fourth proportional to 520.16, 777.12 and 387.84 is: 579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.16 : 777.12 = 387.84 : x
  2. Step 2: Convert to fraction form
    520.16/777.12 = 387.84/x
  3. Step 3: Cross multiply
    520.16x = 777.12 × 387.84
  4. Step 4: Simplify right side
    520.16x = 301,398.22
  5. Step 5: Solve for x
    x = 301,398.22/520.16
  6. Step 6: Final answer
    x = 579.43

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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.