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Finding the Fourth Proportional to 790.73, 1,089.83 and 580.46

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Solution

The fourth proportional to 790.73, 1,089.83 and 580.46 is: 800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.73 : 1,089.83 = 580.46 : x
  2. Step 2: Convert to fraction form
    790.73/1,089.83 = 580.46/x
  3. Step 3: Cross multiply
    790.73x = 1,089.83 × 580.46
  4. Step 4: Simplify right side
    790.73x = 632,606.90
  5. Step 5: Solve for x
    x = 632,606.90/790.73
  6. Step 6: Final answer
    x = 800.03

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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.