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Finding the Fourth Proportional to 495.03, 745.85 and 448.16

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Solution

The fourth proportional to 495.03, 745.85 and 448.16 is: 675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.03 : 745.85 = 448.16 : x
  2. Step 2: Convert to fraction form
    495.03/745.85 = 448.16/x
  3. Step 3: Cross multiply
    495.03x = 745.85 × 448.16
  4. Step 4: Simplify right side
    495.03x = 334,255.01
  5. Step 5: Solve for x
    x = 334,255.01/495.03
  6. Step 6: Final answer
    x = 675.22

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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.