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Finding the Fourth Proportional to 466.01, 697.80 and 319.40

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Solution

The fourth proportional to 466.01, 697.80 and 319.40 is: 478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.01 : 697.80 = 319.40 : x
  2. Step 2: Convert to fraction form
    466.01/697.80 = 319.40/x
  3. Step 3: Cross multiply
    466.01x = 697.80 × 319.40
  4. Step 4: Simplify right side
    466.01x = 222,877.32
  5. Step 5: Solve for x
    x = 222,877.32/466.01
  6. Step 6: Final answer
    x = 478.27

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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.