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Finding the Fourth Proportional to 633.55, 874.12 and 409.55

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Solution

The fourth proportional to 633.55, 874.12 and 409.55 is: 565.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.55 : 874.12 = 409.55 : x
  2. Step 2: Convert to fraction form
    633.55/874.12 = 409.55/x
  3. Step 3: Cross multiply
    633.55x = 874.12 × 409.55
  4. Step 4: Simplify right side
    633.55x = 357,994.37
  5. Step 5: Solve for x
    x = 357,994.37/633.55
  6. Step 6: Final answer
    x = 565.06

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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.