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Finding the Fourth Proportional to 591.90, 814.77 and 508.83

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Solution

The fourth proportional to 591.90, 814.77 and 508.83 is: 700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.90 : 814.77 = 508.83 : x
  2. Step 2: Convert to fraction form
    591.90/814.77 = 508.83/x
  3. Step 3: Cross multiply
    591.90x = 814.77 × 508.83
  4. Step 4: Simplify right side
    591.90x = 414,579.42
  5. Step 5: Solve for x
    x = 414,579.42/591.90
  6. Step 6: Final answer
    x = 700.42

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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.