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Finding the Fourth Proportional to 633.26, 873.51 and 420.58

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Solution

The fourth proportional to 633.26, 873.51 and 420.58 is: 580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.26 : 873.51 = 420.58 : x
  2. Step 2: Convert to fraction form
    633.26/873.51 = 420.58/x
  3. Step 3: Cross multiply
    633.26x = 873.51 × 420.58
  4. Step 4: Simplify right side
    633.26x = 367,385.17
  5. Step 5: Solve for x
    x = 367,385.17/633.26
  6. Step 6: Final answer
    x = 580.15

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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.