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Finding the Fourth Proportional to 633.22, 873.23 and 420.20

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Solution

The fourth proportional to 633.22, 873.23 and 420.20 is: 579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.22 : 873.23 = 420.20 : x
  2. Step 2: Convert to fraction form
    633.22/873.23 = 420.20/x
  3. Step 3: Cross multiply
    633.22x = 873.23 × 420.20
  4. Step 4: Simplify right side
    633.22x = 366,931.25
  5. Step 5: Solve for x
    x = 366,931.25/633.22
  6. Step 6: Final answer
    x = 579.47

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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.