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Finding the Fourth Proportional to 599.28, 898.04 and 470.64

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Solution

The fourth proportional to 599.28, 898.04 and 470.64 is: 705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.28 : 898.04 = 470.64 : x
  2. Step 2: Convert to fraction form
    599.28/898.04 = 470.64/x
  3. Step 3: Cross multiply
    599.28x = 898.04 × 470.64
  4. Step 4: Simplify right side
    599.28x = 422,653.55
  5. Step 5: Solve for x
    x = 422,653.55/599.28
  6. Step 6: Final answer
    x = 705.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.