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Finding the Fourth Proportional to 611.02, 843.53 and 470.83

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Solution

The fourth proportional to 611.02, 843.53 and 470.83 is: 650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.02 : 843.53 = 470.83 : x
  2. Step 2: Convert to fraction form
    611.02/843.53 = 470.83/x
  3. Step 3: Cross multiply
    611.02x = 843.53 × 470.83
  4. Step 4: Simplify right side
    611.02x = 397,161.77
  5. Step 5: Solve for x
    x = 397,161.77/611.02
  6. Step 6: Final answer
    x = 650.00

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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.