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Finding the Fourth Proportional to 466.01, 698.80 and 420.78

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Solution

The fourth proportional to 466.01, 698.80 and 420.78 is: 630.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.01 : 698.80 = 420.78 : x
  2. Step 2: Convert to fraction form
    466.01/698.80 = 420.78/x
  3. Step 3: Cross multiply
    466.01x = 698.80 × 420.78
  4. Step 4: Simplify right side
    466.01x = 294,041.06
  5. Step 5: Solve for x
    x = 294,041.06/466.01
  6. Step 6: Final answer
    x = 630.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.