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Finding the Fourth Proportional to 822.96, 1,128.48 and 795.36

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Solution

The fourth proportional to 822.96, 1,128.48 and 795.36 is: 1,090.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.96 : 1,128.48 = 795.36 : x
  2. Step 2: Convert to fraction form
    822.96/1,128.48 = 795.36/x
  3. Step 3: Cross multiply
    822.96x = 1,128.48 × 795.36
  4. Step 4: Simplify right side
    822.96x = 897,547.85
  5. Step 5: Solve for x
    x = 897,547.85/822.96
  6. Step 6: Final answer
    x = 1,090.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.