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Finding the Fourth Proportional to 555.80, 767.10 and 409.19

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Solution

The fourth proportional to 555.80, 767.10 and 409.19 is: 564.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.80 : 767.10 = 409.19 : x
  2. Step 2: Convert to fraction form
    555.80/767.10 = 409.19/x
  3. Step 3: Cross multiply
    555.80x = 767.10 × 409.19
  4. Step 4: Simplify right side
    555.80x = 313,889.65
  5. Step 5: Solve for x
    x = 313,889.65/555.80
  6. Step 6: Final answer
    x = 564.75

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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.