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Finding the Fourth Proportional to 452.25, 679.05 and 434.84

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Solution

The fourth proportional to 452.25, 679.05 and 434.84 is: 652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.25 : 679.05 = 434.84 : x
  2. Step 2: Convert to fraction form
    452.25/679.05 = 434.84/x
  3. Step 3: Cross multiply
    452.25x = 679.05 × 434.84
  4. Step 4: Simplify right side
    452.25x = 295,274.71
  5. Step 5: Solve for x
    x = 295,274.71/452.25
  6. Step 6: Final answer
    x = 652.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.