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Finding the Fourth Proportional to 797.60, 1,100.43 and 465.86

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Solution

The fourth proportional to 797.60, 1,100.43 and 465.86 is: 642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.60 : 1,100.43 = 465.86 : x
  2. Step 2: Convert to fraction form
    797.60/1,100.43 = 465.86/x
  3. Step 3: Cross multiply
    797.60x = 1,100.43 × 465.86
  4. Step 4: Simplify right side
    797.60x = 512,646.32
  5. Step 5: Solve for x
    x = 512,646.32/797.60
  6. Step 6: Final answer
    x = 642.74

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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.