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Finding the Fourth Proportional to 497.83, 746.03 and 280.95

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Solution

The fourth proportional to 497.83, 746.03 and 280.95 is: 421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.83 : 746.03 = 280.95 : x
  2. Step 2: Convert to fraction form
    497.83/746.03 = 280.95/x
  3. Step 3: Cross multiply
    497.83x = 746.03 × 280.95
  4. Step 4: Simplify right side
    497.83x = 209,595.72
  5. Step 5: Solve for x
    x = 209,595.72/497.83
  6. Step 6: Final answer
    x = 421.02

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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.