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Finding the Fourth Proportional to 905.61, 1,355.38 and 666.83

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Solution

The fourth proportional to 905.61, 1,355.38 and 666.83 is: 998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.61 : 1,355.38 = 666.83 : x
  2. Step 2: Convert to fraction form
    905.61/1,355.38 = 666.83/x
  3. Step 3: Cross multiply
    905.61x = 1,355.38 × 666.83
  4. Step 4: Simplify right side
    905.61x = 903,813.52
  5. Step 5: Solve for x
    x = 903,813.52/905.61
  6. Step 6: Final answer
    x = 998.01

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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.