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Finding the Fourth Proportional to 827.07, 1,141.46 and 477.82

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Solution

The fourth proportional to 827.07, 1,141.46 and 477.82 is: 659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.07 : 1,141.46 = 477.82 : x
  2. Step 2: Convert to fraction form
    827.07/1,141.46 = 477.82/x
  3. Step 3: Cross multiply
    827.07x = 1,141.46 × 477.82
  4. Step 4: Simplify right side
    827.07x = 545,412.42
  5. Step 5: Solve for x
    x = 545,412.42/827.07
  6. Step 6: Final answer
    x = 659.45

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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.