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Finding the Fourth Proportional to 662.14, 913.53 and 429.31

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Solution

The fourth proportional to 662.14, 913.53 and 429.31 is: 592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.14 : 913.53 = 429.31 : x
  2. Step 2: Convert to fraction form
    662.14/913.53 = 429.31/x
  3. Step 3: Cross multiply
    662.14x = 913.53 × 429.31
  4. Step 4: Simplify right side
    662.14x = 392,187.56
  5. Step 5: Solve for x
    x = 392,187.56/662.14
  6. Step 6: Final answer
    x = 592.30

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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.