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Finding the Fourth Proportional to 477.66, 659.42 and 452.23

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Solution

The fourth proportional to 477.66, 659.42 and 452.23 is: 624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.66 : 659.42 = 452.23 : x
  2. Step 2: Convert to fraction form
    477.66/659.42 = 452.23/x
  3. Step 3: Cross multiply
    477.66x = 659.42 × 452.23
  4. Step 4: Simplify right side
    477.66x = 298,209.51
  5. Step 5: Solve for x
    x = 298,209.51/477.66
  6. Step 6: Final answer
    x = 624.31

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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.