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Finding the Fourth Proportional to 433.53, 646.64 and 420.56

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Solution

The fourth proportional to 433.53, 646.64 and 420.56 is: 627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.53 : 646.64 = 420.56 : x
  2. Step 2: Convert to fraction form
    433.53/646.64 = 420.56/x
  3. Step 3: Cross multiply
    433.53x = 646.64 × 420.56
  4. Step 4: Simplify right side
    433.53x = 271,948.82
  5. Step 5: Solve for x
    x = 271,948.82/433.53
  6. Step 6: Final answer
    x = 627.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.