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Finding the Fourth Proportional to 797.95, 1,102.70 and 650.53

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Solution

The fourth proportional to 797.95, 1,102.70 and 650.53 is: 898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.95 : 1,102.70 = 650.53 : x
  2. Step 2: Convert to fraction form
    797.95/1,102.70 = 650.53/x
  3. Step 3: Cross multiply
    797.95x = 1,102.70 × 650.53
  4. Step 4: Simplify right side
    797.95x = 717,330.66
  5. Step 5: Solve for x
    x = 717,330.66/797.95
  6. Step 6: Final answer
    x = 898.97

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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.