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Finding the Fourth Proportional to 673.49, 928.94 and 424.57

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Solution

The fourth proportional to 673.49, 928.94 and 424.57 is: 585.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.49 : 928.94 = 424.57 : x
  2. Step 2: Convert to fraction form
    673.49/928.94 = 424.57/x
  3. Step 3: Cross multiply
    673.49x = 928.94 × 424.57
  4. Step 4: Simplify right side
    673.49x = 394,398.32
  5. Step 5: Solve for x
    x = 394,398.32/673.49
  6. Step 6: Final answer
    x = 585.60

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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.