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Finding the Fourth Proportional to 617.32, 852.82 and 477.80

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Solution

The fourth proportional to 617.32, 852.82 and 477.80 is: 660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.32 : 852.82 = 477.80 : x
  2. Step 2: Convert to fraction form
    617.32/852.82 = 477.80/x
  3. Step 3: Cross multiply
    617.32x = 852.82 × 477.80
  4. Step 4: Simplify right side
    617.32x = 407,477.40
  5. Step 5: Solve for x
    x = 407,477.40/617.32
  6. Step 6: Final answer
    x = 660.07

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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.