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Finding the Fourth Proportional to 620.64, 924.30 and 599.09

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Solution

The fourth proportional to 620.64, 924.30 and 599.09 is: 892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.64 : 924.30 = 599.09 : x
  2. Step 2: Convert to fraction form
    620.64/924.30 = 599.09/x
  3. Step 3: Cross multiply
    620.64x = 924.30 × 599.09
  4. Step 4: Simplify right side
    620.64x = 553,734.27
  5. Step 5: Solve for x
    x = 553,734.27/620.64
  6. Step 6: Final answer
    x = 892.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.