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Finding the Fourth Proportional to 605.83, 909.53 and 519.72

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Solution

The fourth proportional to 605.83, 909.53 and 519.72 is: 780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.83 : 909.53 = 519.72 : x
  2. Step 2: Convert to fraction form
    605.83/909.53 = 519.72/x
  3. Step 3: Cross multiply
    605.83x = 909.53 × 519.72
  4. Step 4: Simplify right side
    605.83x = 472,696.87
  5. Step 5: Solve for x
    x = 472,696.87/605.83
  6. Step 6: Final answer
    x = 780.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.