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Finding the Fourth Proportional to 497.34, 745.20 and 416.34

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Solution

The fourth proportional to 497.34, 745.20 and 416.34 is: 623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.34 : 745.20 = 416.34 : x
  2. Step 2: Convert to fraction form
    497.34/745.20 = 416.34/x
  3. Step 3: Cross multiply
    497.34x = 745.20 × 416.34
  4. Step 4: Simplify right side
    497.34x = 310,256.57
  5. Step 5: Solve for x
    x = 310,256.57/497.34
  6. Step 6: Final answer
    x = 623.83

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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.