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Finding the Fourth Proportional to 673.25, 928.71 and 434.05

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Solution

The fourth proportional to 673.25, 928.71 and 434.05 is: 598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.25 : 928.71 = 434.05 : x
  2. Step 2: Convert to fraction form
    673.25/928.71 = 434.05/x
  3. Step 3: Cross multiply
    673.25x = 928.71 × 434.05
  4. Step 4: Simplify right side
    673.25x = 403,104.25
  5. Step 5: Solve for x
    x = 403,104.25/673.25
  6. Step 6: Final answer
    x = 598.75

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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.