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Finding the Fourth Proportional to 476.65, 655.59 and 440.20

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Solution

The fourth proportional to 476.65, 655.59 and 440.20 is: 605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.65 : 655.59 = 440.20 : x
  2. Step 2: Convert to fraction form
    476.65/655.59 = 440.20/x
  3. Step 3: Cross multiply
    476.65x = 655.59 × 440.20
  4. Step 4: Simplify right side
    476.65x = 288,590.72
  5. Step 5: Solve for x
    x = 288,590.72/476.65
  6. Step 6: Final answer
    x = 605.46

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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.