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Finding the Fourth Proportional to 537.98, 743.63 and 494.93

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Solution

The fourth proportional to 537.98, 743.63 and 494.93 is: 684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.98 : 743.63 = 494.93 : x
  2. Step 2: Convert to fraction form
    537.98/743.63 = 494.93/x
  3. Step 3: Cross multiply
    537.98x = 743.63 × 494.93
  4. Step 4: Simplify right side
    537.98x = 368,038.60
  5. Step 5: Solve for x
    x = 368,038.60/537.98
  6. Step 6: Final answer
    x = 684.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.