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Finding the Fourth Proportional to 983.18, 1,354.83 and 920.00

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Solution

The fourth proportional to 983.18, 1,354.83 and 920.00 is: 1,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.18 : 1,354.83 = 920.00 : x
  2. Step 2: Convert to fraction form
    983.18/1,354.83 = 920.00/x
  3. Step 3: Cross multiply
    983.18x = 1,354.83 × 920.00
  4. Step 4: Simplify right side
    983.18x = 1,246,436.83
  5. Step 5: Solve for x
    x = 1,246,436.83/983.18
  6. Step 6: Final answer
    x = 1,267.77

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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.