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Finding the Fourth Proportional to 826.08, 1,237.14 and 603.11

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Solution

The fourth proportional to 826.08, 1,237.14 and 603.11 is: 903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.08 : 1,237.14 = 603.11 : x
  2. Step 2: Convert to fraction form
    826.08/1,237.14 = 603.11/x
  3. Step 3: Cross multiply
    826.08x = 1,237.14 × 603.11
  4. Step 4: Simplify right side
    826.08x = 746,125.32
  5. Step 5: Solve for x
    x = 746,125.32/826.08
  6. Step 6: Final answer
    x = 903.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.