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Finding the Fourth Proportional to 797.70, 1,100.46 and 465.92

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Solution

The fourth proportional to 797.70, 1,100.46 and 465.92 is: 642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.70 : 1,100.46 = 465.92 : x
  2. Step 2: Convert to fraction form
    797.70/1,100.46 = 465.92/x
  3. Step 3: Cross multiply
    797.70x = 1,100.46 × 465.92
  4. Step 4: Simplify right side
    797.70x = 512,726.32
  5. Step 5: Solve for x
    x = 512,726.32/797.70
  6. Step 6: Final answer
    x = 642.76

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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.