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Finding the Fourth Proportional to 794.70, 1,097.55 and 619.77

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Solution

The fourth proportional to 794.70, 1,097.55 and 619.77 is: 855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.70 : 1,097.55 = 619.77 : x
  2. Step 2: Convert to fraction form
    794.70/1,097.55 = 619.77/x
  3. Step 3: Cross multiply
    794.70x = 1,097.55 × 619.77
  4. Step 4: Simplify right side
    794.70x = 680,228.56
  5. Step 5: Solve for x
    x = 680,228.56/794.70
  6. Step 6: Final answer
    x = 855.96

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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.