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Finding the Fourth Proportional to 676.54, 932.70 and 427.74

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Solution

The fourth proportional to 676.54, 932.70 and 427.74 is: 589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.54 : 932.70 = 427.74 : x
  2. Step 2: Convert to fraction form
    676.54/932.70 = 427.74/x
  3. Step 3: Cross multiply
    676.54x = 932.70 × 427.74
  4. Step 4: Simplify right side
    676.54x = 398,953.10
  5. Step 5: Solve for x
    x = 398,953.10/676.54
  6. Step 6: Final answer
    x = 589.70

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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.