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Finding the Fourth Proportional to 795.80, 1,098.70 and 619.22

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Solution

The fourth proportional to 795.80, 1,098.70 and 619.22 is: 854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.80 : 1,098.70 = 619.22 : x
  2. Step 2: Convert to fraction form
    795.80/1,098.70 = 619.22/x
  3. Step 3: Cross multiply
    795.80x = 1,098.70 × 619.22
  4. Step 4: Simplify right side
    795.80x = 680,337.01
  5. Step 5: Solve for x
    x = 680,337.01/795.80
  6. Step 6: Final answer
    x = 854.91

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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.