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Finding the Fourth Proportional to 662.81, 914.71 and 466.39

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Solution

The fourth proportional to 662.81, 914.71 and 466.39 is: 643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.81 : 914.71 = 466.39 : x
  2. Step 2: Convert to fraction form
    662.81/914.71 = 466.39/x
  3. Step 3: Cross multiply
    662.81x = 914.71 × 466.39
  4. Step 4: Simplify right side
    662.81x = 426,607.02
  5. Step 5: Solve for x
    x = 426,607.02/662.81
  6. Step 6: Final answer
    x = 643.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.