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Finding the Fourth Proportional to 797.01, 1,099.71 and 465.42

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Solution

The fourth proportional to 797.01, 1,099.71 and 465.42 is: 642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.01 : 1,099.71 = 465.42 : x
  2. Step 2: Convert to fraction form
    797.01/1,099.71 = 465.42/x
  3. Step 3: Cross multiply
    797.01x = 1,099.71 × 465.42
  4. Step 4: Simplify right side
    797.01x = 511,827.03
  5. Step 5: Solve for x
    x = 511,827.03/797.01
  6. Step 6: Final answer
    x = 642.18

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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.