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Finding the Fourth Proportional to 511.14, 704.65 and 428.11

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Solution

The fourth proportional to 511.14, 704.65 and 428.11 is: 590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.14 : 704.65 = 428.11 : x
  2. Step 2: Convert to fraction form
    511.14/704.65 = 428.11/x
  3. Step 3: Cross multiply
    511.14x = 704.65 × 428.11
  4. Step 4: Simplify right side
    511.14x = 301,667.71
  5. Step 5: Solve for x
    x = 301,667.71/511.14
  6. Step 6: Final answer
    x = 590.19

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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.