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Finding the Fourth Proportional to 673.06, 929.43 and 424.82

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Solution

The fourth proportional to 673.06, 929.43 and 424.82 is: 586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.06 : 929.43 = 424.82 : x
  2. Step 2: Convert to fraction form
    673.06/929.43 = 424.82/x
  3. Step 3: Cross multiply
    673.06x = 929.43 × 424.82
  4. Step 4: Simplify right side
    673.06x = 394,840.45
  5. Step 5: Solve for x
    x = 394,840.45/673.06
  6. Step 6: Final answer
    x = 586.63

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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.