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Finding the Fourth Proportional to 685.45, 943 and 568.81

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Solution

The fourth proportional to 685.45, 943 and 568.81 is: 782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.45 : 943 = 568.81 : x
  2. Step 2: Convert to fraction form
    685.45/943 = 568.81/x
  3. Step 3: Cross multiply
    685.45x = 943 × 568.81
  4. Step 4: Simplify right side
    685.45x = 536,387.83
  5. Step 5: Solve for x
    x = 536,387.83/685.45
  6. Step 6: Final answer
    x = 782.53

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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.