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Finding the Fourth Proportional to 685.26, 943.47 and 597.90

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Solution

The fourth proportional to 685.26, 943.47 and 597.90 is: 823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.26 : 943.47 = 597.90 : x
  2. Step 2: Convert to fraction form
    685.26/943.47 = 597.90/x
  3. Step 3: Cross multiply
    685.26x = 943.47 × 597.90
  4. Step 4: Simplify right side
    685.26x = 564,100.71
  5. Step 5: Solve for x
    x = 564,100.71/685.26
  6. Step 6: Final answer
    x = 823.19

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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.