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Finding the Fourth Proportional to 657.83, 905.02 and 611.73

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Solution

The fourth proportional to 657.83, 905.02 and 611.73 is: 841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.83 : 905.02 = 611.73 : x
  2. Step 2: Convert to fraction form
    657.83/905.02 = 611.73/x
  3. Step 3: Cross multiply
    657.83x = 905.02 × 611.73
  4. Step 4: Simplify right side
    657.83x = 553,626.36
  5. Step 5: Solve for x
    x = 553,626.36/657.83
  6. Step 6: Final answer
    x = 841.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.