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Finding the Fourth Proportional to 673.72, 929.63 and 425.38

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Solution

The fourth proportional to 673.72, 929.63 and 425.38 is: 586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.72 : 929.63 = 425.38 : x
  2. Step 2: Convert to fraction form
    673.72/929.63 = 425.38/x
  3. Step 3: Cross multiply
    673.72x = 929.63 × 425.38
  4. Step 4: Simplify right side
    673.72x = 395,441.48
  5. Step 5: Solve for x
    x = 395,441.48/673.72
  6. Step 6: Final answer
    x = 586.95

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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.