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Finding the Fourth Proportional to 675.78, 932.78 and 479.36

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Solution

The fourth proportional to 675.78, 932.78 and 479.36 is: 661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.78 : 932.78 = 479.36 : x
  2. Step 2: Convert to fraction form
    675.78/932.78 = 479.36/x
  3. Step 3: Cross multiply
    675.78x = 932.78 × 479.36
  4. Step 4: Simplify right side
    675.78x = 447,137.42
  5. Step 5: Solve for x
    x = 447,137.42/675.78
  6. Step 6: Final answer
    x = 661.66

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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.