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Finding the Fourth Proportional to 795.71, 1,095.58 and 722.81

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Solution

The fourth proportional to 795.71, 1,095.58 and 722.81 is: 995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.71 : 1,095.58 = 722.81 : x
  2. Step 2: Convert to fraction form
    795.71/1,095.58 = 722.81/x
  3. Step 3: Cross multiply
    795.71x = 1,095.58 × 722.81
  4. Step 4: Simplify right side
    795.71x = 791,896.18
  5. Step 5: Solve for x
    x = 791,896.18/795.71
  6. Step 6: Final answer
    x = 995.21

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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.