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Finding the Fourth Proportional to 917.48, 1,266 and 519.17

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Solution

The fourth proportional to 917.48, 1,266 and 519.17 is: 716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.48 : 1,266 = 519.17 : x
  2. Step 2: Convert to fraction form
    917.48/1,266 = 519.17/x
  3. Step 3: Cross multiply
    917.48x = 1,266 × 519.17
  4. Step 4: Simplify right side
    917.48x = 657,269.22
  5. Step 5: Solve for x
    x = 657,269.22/917.48
  6. Step 6: Final answer
    x = 716.39

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Double scale
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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.