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Finding the Fourth Proportional to 901.63, 1,242.84 and 826.30

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Solution

The fourth proportional to 901.63, 1,242.84 and 826.30 is: 1,139.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.63 : 1,242.84 = 826.30 : x
  2. Step 2: Convert to fraction form
    901.63/1,242.84 = 826.30/x
  3. Step 3: Cross multiply
    901.63x = 1,242.84 × 826.30
  4. Step 4: Simplify right side
    901.63x = 1,026,958.69
  5. Step 5: Solve for x
    x = 1,026,958.69/901.63
  6. Step 6: Final answer
    x = 1,139.00

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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.