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Finding the Fourth Proportional to 617.91, 852.84 and 470.28

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Solution

The fourth proportional to 617.91, 852.84 and 470.28 is: 649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.91 : 852.84 = 470.28 : x
  2. Step 2: Convert to fraction form
    617.91/852.84 = 470.28/x
  3. Step 3: Cross multiply
    617.91x = 852.84 × 470.28
  4. Step 4: Simplify right side
    617.91x = 401,073.60
  5. Step 5: Solve for x
    x = 401,073.60/617.91
  6. Step 6: Final answer
    x = 649.08

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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.