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Finding the Fourth Proportional to 690.89, 950.60 and 597.33

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Solution

The fourth proportional to 690.89, 950.60 and 597.33 is: 821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.89 : 950.60 = 597.33 : x
  2. Step 2: Convert to fraction form
    690.89/950.60 = 597.33/x
  3. Step 3: Cross multiply
    690.89x = 950.60 × 597.33
  4. Step 4: Simplify right side
    690.89x = 567,821.90
  5. Step 5: Solve for x
    x = 567,821.90/690.89
  6. Step 6: Final answer
    x = 821.87

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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.