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Finding the Fourth Proportional to 792.50, 1,093.98 and 497.70

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Solution

The fourth proportional to 792.50, 1,093.98 and 497.70 is: 687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.50 : 1,093.98 = 497.70 : x
  2. Step 2: Convert to fraction form
    792.50/1,093.98 = 497.70/x
  3. Step 3: Cross multiply
    792.50x = 1,093.98 × 497.70
  4. Step 4: Simplify right side
    792.50x = 544,473.85
  5. Step 5: Solve for x
    x = 544,473.85/792.50
  6. Step 6: Final answer
    x = 687.03

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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.