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Finding the Fourth Proportional to 1,163.46, 1,603.70 and 790.26

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Solution

The fourth proportional to 1,163.46, 1,603.70 and 790.26 is: 1,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.46 : 1,603.70 = 790.26 : x
  2. Step 2: Convert to fraction form
    1,163.46/1,603.70 = 790.26/x
  3. Step 3: Cross multiply
    1,163.46x = 1,603.70 × 790.26
  4. Step 4: Simplify right side
    1,163.46x = 1,267,332.96
  5. Step 5: Solve for x
    x = 1,267,332.96/1,163.46
  6. Step 6: Final answer
    x = 1,089.28

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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.