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Finding the Fourth Proportional to 617.65, 852.67 and 477.45

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Solution

The fourth proportional to 617.65, 852.67 and 477.45 is: 659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.65 : 852.67 = 477.45 : x
  2. Step 2: Convert to fraction form
    617.65/852.67 = 477.45/x
  3. Step 3: Cross multiply
    617.65x = 852.67 × 477.45
  4. Step 4: Simplify right side
    617.65x = 407,111.09
  5. Step 5: Solve for x
    x = 407,111.09/617.65
  6. Step 6: Final answer
    x = 659.13

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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.