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Finding the Fourth Proportional to 520.38, 786.48 and 511.42

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Solution

The fourth proportional to 520.38, 786.48 and 511.42 is: 772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.38 : 786.48 = 511.42 : x
  2. Step 2: Convert to fraction form
    520.38/786.48 = 511.42/x
  3. Step 3: Cross multiply
    520.38x = 786.48 × 511.42
  4. Step 4: Simplify right side
    520.38x = 402,219.04
  5. Step 5: Solve for x
    x = 402,219.04/520.38
  6. Step 6: Final answer
    x = 772.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.