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Finding the Fourth Proportional to 917.42, 1,377.74 and 712.22

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Solution

The fourth proportional to 917.42, 1,377.74 and 712.22 is: 1,069.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.42 : 1,377.74 = 712.22 : x
  2. Step 2: Convert to fraction form
    917.42/1,377.74 = 712.22/x
  3. Step 3: Cross multiply
    917.42x = 1,377.74 × 712.22
  4. Step 4: Simplify right side
    917.42x = 981,253.98
  5. Step 5: Solve for x
    x = 981,253.98/917.42
  6. Step 6: Final answer
    x = 1,069.58

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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.