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Finding the Fourth Proportional to 633.46, 874.40 and 434.40

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Solution

The fourth proportional to 633.46, 874.40 and 434.40 is: 599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.46 : 874.40 = 434.40 : x
  2. Step 2: Convert to fraction form
    633.46/874.40 = 434.40/x
  3. Step 3: Cross multiply
    633.46x = 874.40 × 434.40
  4. Step 4: Simplify right side
    633.46x = 379,837.19
  5. Step 5: Solve for x
    x = 379,837.19/633.46
  6. Step 6: Final answer
    x = 599.63

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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.