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Finding the Fourth Proportional to 497.61, 746.04 and 280.89

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Solution

The fourth proportional to 497.61, 746.04 and 280.89 is: 421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.61 : 746.04 = 280.89 : x
  2. Step 2: Convert to fraction form
    497.61/746.04 = 280.89/x
  3. Step 3: Cross multiply
    497.61x = 746.04 × 280.89
  4. Step 4: Simplify right side
    497.61x = 209,555.18
  5. Step 5: Solve for x
    x = 209,555.18/497.61
  6. Step 6: Final answer
    x = 421.12

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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.