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Finding the Fourth Proportional to 470.52, 708.49 and 389.04

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Solution

The fourth proportional to 470.52, 708.49 and 389.04 is: 585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.52 : 708.49 = 389.04 : x
  2. Step 2: Convert to fraction form
    470.52/708.49 = 389.04/x
  3. Step 3: Cross multiply
    470.52x = 708.49 × 389.04
  4. Step 4: Simplify right side
    470.52x = 275,628.78
  5. Step 5: Solve for x
    x = 275,628.78/470.52
  6. Step 6: Final answer
    x = 585.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.