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Finding the Fourth Proportional to 662.99, 914.51 and 427.25

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Solution

The fourth proportional to 662.99, 914.51 and 427.25 is: 589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.99 : 914.51 = 427.25 : x
  2. Step 2: Convert to fraction form
    662.99/914.51 = 427.25/x
  3. Step 3: Cross multiply
    662.99x = 914.51 × 427.25
  4. Step 4: Simplify right side
    662.99x = 390,724.40
  5. Step 5: Solve for x
    x = 390,724.40/662.99
  6. Step 6: Final answer
    x = 589.34

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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.