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Finding the Fourth Proportional to 682.10, 940.70 and 524.45

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Solution

The fourth proportional to 682.10, 940.70 and 524.45 is: 723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.10 : 940.70 = 524.45 : x
  2. Step 2: Convert to fraction form
    682.10/940.70 = 524.45/x
  3. Step 3: Cross multiply
    682.10x = 940.70 × 524.45
  4. Step 4: Simplify right side
    682.10x = 493,350.12
  5. Step 5: Solve for x
    x = 493,350.12/682.10
  6. Step 6: Final answer
    x = 723.28

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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.