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Finding the Fourth Proportional to 550.32, 758.58 and 410.22

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Solution

The fourth proportional to 550.32, 758.58 and 410.22 is: 565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.32 : 758.58 = 410.22 : x
  2. Step 2: Convert to fraction form
    550.32/758.58 = 410.22/x
  3. Step 3: Cross multiply
    550.32x = 758.58 × 410.22
  4. Step 4: Simplify right side
    550.32x = 311,184.69
  5. Step 5: Solve for x
    x = 311,184.69/550.32
  6. Step 6: Final answer
    x = 565.46

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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.