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Finding the Fourth Proportional to 797, 1,100.52 and 632.06

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Solution

The fourth proportional to 797, 1,100.52 and 632.06 is: 872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    797 : 1,100.52 = 632.06 : x
  2. Step 2: Convert to fraction form
    797/1,100.52 = 632.06/x
  3. Step 3: Cross multiply
    797x = 1,100.52 × 632.06
  4. Step 4: Simplify right side
    797x = 695,594.67
  5. Step 5: Solve for x
    x = 695,594.67/797
  6. Step 6: Final answer
    x = 872.77

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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.