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Finding the Fourth Proportional to 686.18, 945.82 and 536.54

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Solution

The fourth proportional to 686.18, 945.82 and 536.54 is: 739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.18 : 945.82 = 536.54 : x
  2. Step 2: Convert to fraction form
    686.18/945.82 = 536.54/x
  3. Step 3: Cross multiply
    686.18x = 945.82 × 536.54
  4. Step 4: Simplify right side
    686.18x = 507,463.19
  5. Step 5: Solve for x
    x = 507,463.19/686.18
  6. Step 6: Final answer
    x = 739.55

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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.