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Finding the Fourth Proportional to 675.69, 932.10 and 478.86

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Solution

The fourth proportional to 675.69, 932.10 and 478.86 is: 660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.69 : 932.10 = 478.86 : x
  2. Step 2: Convert to fraction form
    675.69/932.10 = 478.86/x
  3. Step 3: Cross multiply
    675.69x = 932.10 × 478.86
  4. Step 4: Simplify right side
    675.69x = 446,345.41
  5. Step 5: Solve for x
    x = 446,345.41/675.69
  6. Step 6: Final answer
    x = 660.58

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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.