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Finding the Fourth Proportional to 2,350.83, 3,526.42 and 790.83

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Solution

The fourth proportional to 2,350.83, 3,526.42 and 790.83 is: 1,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.83 : 3,526.42 = 790.83 : x
  2. Step 2: Convert to fraction form
    2,350.83/3,526.42 = 790.83/x
  3. Step 3: Cross multiply
    2,350.83x = 3,526.42 × 790.83
  4. Step 4: Simplify right side
    2,350.83x = 2,788,803.59
  5. Step 5: Solve for x
    x = 2,788,803.59/2,350.83
  6. Step 6: Final answer
    x = 1,186.31

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