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Finding the Fourth Proportional to 550.57, 758.86 and 457.01

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Solution

The fourth proportional to 550.57, 758.86 and 457.01 is: 629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.57 : 758.86 = 457.01 : x
  2. Step 2: Convert to fraction form
    550.57/758.86 = 457.01/x
  3. Step 3: Cross multiply
    550.57x = 758.86 × 457.01
  4. Step 4: Simplify right side
    550.57x = 346,806.61
  5. Step 5: Solve for x
    x = 346,806.61/550.57
  6. Step 6: Final answer
    x = 629.90

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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.