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Finding the Fourth Proportional to 1,043.59, 1,438.50 and 822.19

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Solution

The fourth proportional to 1,043.59, 1,438.50 and 822.19 is: 1,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.59 : 1,438.50 = 822.19 : x
  2. Step 2: Convert to fraction form
    1,043.59/1,438.50 = 822.19/x
  3. Step 3: Cross multiply
    1,043.59x = 1,438.50 × 822.19
  4. Step 4: Simplify right side
    1,043.59x = 1,182,720.32
  5. Step 5: Solve for x
    x = 1,182,720.32/1,043.59
  6. Step 6: Final answer
    x = 1,133.32

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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.