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Finding the Fourth Proportional to 693.21, 953.77 and 599.65

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Solution

The fourth proportional to 693.21, 953.77 and 599.65 is: 825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.21 : 953.77 = 599.65 : x
  2. Step 2: Convert to fraction form
    693.21/953.77 = 599.65/x
  3. Step 3: Cross multiply
    693.21x = 953.77 × 599.65
  4. Step 4: Simplify right side
    693.21x = 571,928.18
  5. Step 5: Solve for x
    x = 571,928.18/693.21
  6. Step 6: Final answer
    x = 825.04

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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.