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Finding the Fourth Proportional to 682.55, 942.70 and 496.87

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Solution

The fourth proportional to 682.55, 942.70 and 496.87 is: 686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.55 : 942.70 = 496.87 : x
  2. Step 2: Convert to fraction form
    682.55/942.70 = 496.87/x
  3. Step 3: Cross multiply
    682.55x = 942.70 × 496.87
  4. Step 4: Simplify right side
    682.55x = 468,399.35
  5. Step 5: Solve for x
    x = 468,399.35/682.55
  6. Step 6: Final answer
    x = 686.25

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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.