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Finding the Fourth Proportional to 684.98, 945.39 and 499.02

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Solution

The fourth proportional to 684.98, 945.39 and 499.02 is: 688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.98 : 945.39 = 499.02 : x
  2. Step 2: Convert to fraction form
    684.98/945.39 = 499.02/x
  3. Step 3: Cross multiply
    684.98x = 945.39 × 499.02
  4. Step 4: Simplify right side
    684.98x = 471,768.52
  5. Step 5: Solve for x
    x = 471,768.52/684.98
  6. Step 6: Final answer
    x = 688.73

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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.