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Finding the Fourth Proportional to 905.02, 1,357.43 and 417.94

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Solution

The fourth proportional to 905.02, 1,357.43 and 417.94 is: 626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.02 : 1,357.43 = 417.94 : x
  2. Step 2: Convert to fraction form
    905.02/1,357.43 = 417.94/x
  3. Step 3: Cross multiply
    905.02x = 1,357.43 × 417.94
  4. Step 4: Simplify right side
    905.02x = 567,318.81
  5. Step 5: Solve for x
    x = 567,318.81/905.02
  6. Step 6: Final answer
    x = 626.86

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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.