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Finding the Fourth Proportional to 673.56, 929.34 and 424.86

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Solution

The fourth proportional to 673.56, 929.34 and 424.86 is: 586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.56 : 929.34 = 424.86 : x
  2. Step 2: Convert to fraction form
    673.56/929.34 = 424.86/x
  3. Step 3: Cross multiply
    673.56x = 929.34 × 424.86
  4. Step 4: Simplify right side
    673.56x = 394,839.39
  5. Step 5: Solve for x
    x = 394,839.39/673.56
  6. Step 6: Final answer
    x = 586.20

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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.