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Finding the Fourth Proportional to 832.42, 1,140.53 and 822.18

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Solution

The fourth proportional to 832.42, 1,140.53 and 822.18 is: 1,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.42 : 1,140.53 = 822.18 : x
  2. Step 2: Convert to fraction form
    832.42/1,140.53 = 822.18/x
  3. Step 3: Cross multiply
    832.42x = 1,140.53 × 822.18
  4. Step 4: Simplify right side
    832.42x = 937,720.96
  5. Step 5: Solve for x
    x = 937,720.96/832.42
  6. Step 6: Final answer
    x = 1,126.50

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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.