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Finding the Fourth Proportional to 983.33, 1,355.64 and 784.83

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Solution

The fourth proportional to 983.33, 1,355.64 and 784.83 is: 1,081.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.33 : 1,355.64 = 784.83 : x
  2. Step 2: Convert to fraction form
    983.33/1,355.64 = 784.83/x
  3. Step 3: Cross multiply
    983.33x = 1,355.64 × 784.83
  4. Step 4: Simplify right side
    983.33x = 1,063,943.02
  5. Step 5: Solve for x
    x = 1,063,943.02/983.33
  6. Step 6: Final answer
    x = 1,081.98

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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.