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Finding the Fourth Proportional to 495.40, 745.99 and 455.08

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Solution

The fourth proportional to 495.40, 745.99 and 455.08 is: 685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.40 : 745.99 = 455.08 : x
  2. Step 2: Convert to fraction form
    495.40/745.99 = 455.08/x
  3. Step 3: Cross multiply
    495.40x = 745.99 × 455.08
  4. Step 4: Simplify right side
    495.40x = 339,485.13
  5. Step 5: Solve for x
    x = 339,485.13/495.40
  6. Step 6: Final answer
    x = 685.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.