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Finding the Fourth Proportional to 669.14, 924.31 and 599.20

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Solution

The fourth proportional to 669.14, 924.31 and 599.20 is: 827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.14 : 924.31 = 599.20 : x
  2. Step 2: Convert to fraction form
    669.14/924.31 = 599.20/x
  3. Step 3: Cross multiply
    669.14x = 924.31 × 599.20
  4. Step 4: Simplify right side
    669.14x = 553,844.99
  5. Step 5: Solve for x
    x = 553,844.99/669.14
  6. Step 6: Final answer
    x = 827.70

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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.