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Finding the Fourth Proportional to 685.01, 943.13 and 597.65

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Solution

The fourth proportional to 685.01, 943.13 and 597.65 is: 822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.01 : 943.13 = 597.65 : x
  2. Step 2: Convert to fraction form
    685.01/943.13 = 597.65/x
  3. Step 3: Cross multiply
    685.01x = 943.13 × 597.65
  4. Step 4: Simplify right side
    685.01x = 563,661.64
  5. Step 5: Solve for x
    x = 563,661.64/685.01
  6. Step 6: Final answer
    x = 822.85

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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.