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Finding the Fourth Proportional to 497.13, 745.48 and 301.92

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Solution

The fourth proportional to 497.13, 745.48 and 301.92 is: 452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.13 : 745.48 = 301.92 : x
  2. Step 2: Convert to fraction form
    497.13/745.48 = 301.92/x
  3. Step 3: Cross multiply
    497.13x = 745.48 × 301.92
  4. Step 4: Simplify right side
    497.13x = 225,075.32
  5. Step 5: Solve for x
    x = 225,075.32/497.13
  6. Step 6: Final answer
    x = 452.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.