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Finding the Fourth Proportional to 905.07, 1,356.94 and 611.84

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Solution

The fourth proportional to 905.07, 1,356.94 and 611.84 is: 917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.07 : 1,356.94 = 611.84 : x
  2. Step 2: Convert to fraction form
    905.07/1,356.94 = 611.84/x
  3. Step 3: Cross multiply
    905.07x = 1,356.94 × 611.84
  4. Step 4: Simplify right side
    905.07x = 830,230.17
  5. Step 5: Solve for x
    x = 830,230.17/905.07
  6. Step 6: Final answer
    x = 917.31

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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.