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Finding the Fourth Proportional to 690.12, 951.48 and 596.67

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Solution

The fourth proportional to 690.12, 951.48 and 596.67 is: 822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.12 : 951.48 = 596.67 : x
  2. Step 2: Convert to fraction form
    690.12/951.48 = 596.67/x
  3. Step 3: Cross multiply
    690.12x = 951.48 × 596.67
  4. Step 4: Simplify right side
    690.12x = 567,716.00
  5. Step 5: Solve for x
    x = 567,716.00/690.12
  6. Step 6: Final answer
    x = 822.63

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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.