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Finding the Fourth Proportional to 550.10, 758.76 and 419.42

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Solution

The fourth proportional to 550.10, 758.76 and 419.42 is: 578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.10 : 758.76 = 419.42 : x
  2. Step 2: Convert to fraction form
    550.10/758.76 = 419.42/x
  3. Step 3: Cross multiply
    550.10x = 758.76 × 419.42
  4. Step 4: Simplify right side
    550.10x = 318,239.12
  5. Step 5: Solve for x
    x = 318,239.12/550.10
  6. Step 6: Final answer
    x = 578.51

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1.5x scale

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.