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Finding the Fourth Proportional to 453.42, 626.85 and 434.03

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Solution

The fourth proportional to 453.42, 626.85 and 434.03 is: 600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.42 : 626.85 = 434.03 : x
  2. Step 2: Convert to fraction form
    453.42/626.85 = 434.03/x
  3. Step 3: Cross multiply
    453.42x = 626.85 × 434.03
  4. Step 4: Simplify right side
    453.42x = 272,068.57
  5. Step 5: Solve for x
    x = 272,068.57/453.42
  6. Step 6: Final answer
    x = 600.04

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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.