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Finding the Fourth Proportional to 917.73, 1,266.53 and 519.42

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Solution

The fourth proportional to 917.73, 1,266.53 and 519.42 is: 716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.73 : 1,266.53 = 519.42 : x
  2. Step 2: Convert to fraction form
    917.73/1,266.53 = 519.42/x
  3. Step 3: Cross multiply
    917.73x = 1,266.53 × 519.42
  4. Step 4: Simplify right side
    917.73x = 657,858.42
  5. Step 5: Solve for x
    x = 657,858.42/917.73
  6. Step 6: Final answer
    x = 716.83

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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.