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Finding the Fourth Proportional to 662.34, 993.88 and 431.18

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Solution

The fourth proportional to 662.34, 993.88 and 431.18 is: 647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.34 : 993.88 = 431.18 : x
  2. Step 2: Convert to fraction form
    662.34/993.88 = 431.18/x
  3. Step 3: Cross multiply
    662.34x = 993.88 × 431.18
  4. Step 4: Simplify right side
    662.34x = 428,541.18
  5. Step 5: Solve for x
    x = 428,541.18/662.34
  6. Step 6: Final answer
    x = 647.01

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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.