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Finding the Fourth Proportional to 613.40, 917.73 and 544.13

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Solution

The fourth proportional to 613.40, 917.73 and 544.13 is: 814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.40 : 917.73 = 544.13 : x
  2. Step 2: Convert to fraction form
    613.40/917.73 = 544.13/x
  3. Step 3: Cross multiply
    613.40x = 917.73 × 544.13
  4. Step 4: Simplify right side
    613.40x = 499,364.42
  5. Step 5: Solve for x
    x = 499,364.42/613.40
  6. Step 6: Final answer
    x = 814.09

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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.