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Finding the Fourth Proportional to 784.25, 1,082.31 and 653.03

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Solution

The fourth proportional to 784.25, 1,082.31 and 653.03 is: 901.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.25 : 1,082.31 = 653.03 : x
  2. Step 2: Convert to fraction form
    784.25/1,082.31 = 653.03/x
  3. Step 3: Cross multiply
    784.25x = 1,082.31 × 653.03
  4. Step 4: Simplify right side
    784.25x = 706,780.77
  5. Step 5: Solve for x
    x = 706,780.77/784.25
  6. Step 6: Final answer
    x = 901.22

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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.