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Finding the Fourth Proportional to 905.74, 1,357.56 and 417.77

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Solution

The fourth proportional to 905.74, 1,357.56 and 417.77 is: 626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.74 : 1,357.56 = 417.77 : x
  2. Step 2: Convert to fraction form
    905.74/1,357.56 = 417.77/x
  3. Step 3: Cross multiply
    905.74x = 1,357.56 × 417.77
  4. Step 4: Simplify right side
    905.74x = 567,147.84
  5. Step 5: Solve for x
    x = 567,147.84/905.74
  6. Step 6: Final answer
    x = 626.17

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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.