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Finding the Fourth Proportional to 617.69, 851.50 and 470.06

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Solution

The fourth proportional to 617.69, 851.50 and 470.06 is: 648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.69 : 851.50 = 470.06 : x
  2. Step 2: Convert to fraction form
    617.69/851.50 = 470.06/x
  3. Step 3: Cross multiply
    617.69x = 851.50 × 470.06
  4. Step 4: Simplify right side
    617.69x = 400,257.04
  5. Step 5: Solve for x
    x = 400,257.04/617.69
  6. Step 6: Final answer
    x = 648.00

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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.