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Finding the Fourth Proportional to 433.92, 647.25 and 420.24

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Solution

The fourth proportional to 433.92, 647.25 and 420.24 is: 626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.92 : 647.25 = 420.24 : x
  2. Step 2: Convert to fraction form
    433.92/647.25 = 420.24/x
  3. Step 3: Cross multiply
    433.92x = 647.25 × 420.24
  4. Step 4: Simplify right side
    433.92x = 272,000.34
  5. Step 5: Solve for x
    x = 272,000.34/433.92
  6. Step 6: Final answer
    x = 626.84

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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.