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Finding the Fourth Proportional to 875.94, 1,208.79 and 477.61

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Solution

The fourth proportional to 875.94, 1,208.79 and 477.61 is: 659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.94 : 1,208.79 = 477.61 : x
  2. Step 2: Convert to fraction form
    875.94/1,208.79 = 477.61/x
  3. Step 3: Cross multiply
    875.94x = 1,208.79 × 477.61
  4. Step 4: Simplify right side
    875.94x = 577,326.47
  5. Step 5: Solve for x
    x = 577,326.47/875.94
  6. Step 6: Final answer
    x = 659.09

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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.