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Finding the Fourth Proportional to 617.01, 852.42 and 477.69

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Solution

The fourth proportional to 617.01, 852.42 and 477.69 is: 659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.01 : 852.42 = 477.69 : x
  2. Step 2: Convert to fraction form
    617.01/852.42 = 477.69/x
  3. Step 3: Cross multiply
    617.01x = 852.42 × 477.69
  4. Step 4: Simplify right side
    617.01x = 407,192.51
  5. Step 5: Solve for x
    x = 407,192.51/617.01
  6. Step 6: Final answer
    x = 659.94

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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.