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Finding the Fourth Proportional to 684.70, 945.28 and 498

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Solution

The fourth proportional to 684.70, 945.28 and 498 is: 687.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.70 : 945.28 = 498 : x
  2. Step 2: Convert to fraction form
    684.70/945.28 = 498/x
  3. Step 3: Cross multiply
    684.70x = 945.28 × 498
  4. Step 4: Simplify right side
    684.70x = 470,749.44
  5. Step 5: Solve for x
    x = 470,749.44/684.70
  6. Step 6: Final answer
    x = 687.53

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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.