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Finding the Fourth Proportional to 633.56, 873.85 and 420.63

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Solution

The fourth proportional to 633.56, 873.85 and 420.63 is: 580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.56 : 873.85 = 420.63 : x
  2. Step 2: Convert to fraction form
    633.56/873.85 = 420.63/x
  3. Step 3: Cross multiply
    633.56x = 873.85 × 420.63
  4. Step 4: Simplify right side
    633.56x = 367,566.47
  5. Step 5: Solve for x
    x = 367,566.47/633.56
  6. Step 6: Final answer
    x = 580.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.