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Finding the Fourth Proportional to 797.76, 1,099.80 and 610.56

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Solution

The fourth proportional to 797.76, 1,099.80 and 610.56 is: 841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.76 : 1,099.80 = 610.56 : x
  2. Step 2: Convert to fraction form
    797.76/1,099.80 = 610.56/x
  3. Step 3: Cross multiply
    797.76x = 1,099.80 × 610.56
  4. Step 4: Simplify right side
    797.76x = 671,493.89
  5. Step 5: Solve for x
    x = 671,493.89/797.76
  6. Step 6: Final answer
    x = 841.72

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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.