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Finding the Fourth Proportional to 669.30, 925.66 and 599.24

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Solution

The fourth proportional to 669.30, 925.66 and 599.24 is: 828.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.30 : 925.66 = 599.24 : x
  2. Step 2: Convert to fraction form
    669.30/925.66 = 599.24/x
  3. Step 3: Cross multiply
    669.30x = 925.66 × 599.24
  4. Step 4: Simplify right side
    669.30x = 554,692.50
  5. Step 5: Solve for x
    x = 554,692.50/669.30
  6. Step 6: Final answer
    x = 828.77

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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.