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Finding the Fourth Proportional to 494.34, 681.65 and 337.00

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Solution

The fourth proportional to 494.34, 681.65 and 337.00 is: 464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.34 : 681.65 = 337.00 : x
  2. Step 2: Convert to fraction form
    494.34/681.65 = 337.00/x
  3. Step 3: Cross multiply
    494.34x = 681.65 × 337.00
  4. Step 4: Simplify right side
    494.34x = 229,710.96
  5. Step 5: Solve for x
    x = 229,710.96/494.34
  6. Step 6: Final answer
    x = 464.69

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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.