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Finding the Fourth Proportional to 462.80, 697.10 and 420.56

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Solution

The fourth proportional to 462.80, 697.10 and 420.56 is: 633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.80 : 697.10 = 420.56 : x
  2. Step 2: Convert to fraction form
    462.80/697.10 = 420.56/x
  3. Step 3: Cross multiply
    462.80x = 697.10 × 420.56
  4. Step 4: Simplify right side
    462.80x = 293,172.38
  5. Step 5: Solve for x
    x = 293,172.38/462.80
  6. Step 6: Final answer
    x = 633.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.