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Finding the Fourth Proportional to 983.50, 1,357.80 and 751.06

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Solution

The fourth proportional to 983.50, 1,357.80 and 751.06 is: 1,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.50 : 1,357.80 = 751.06 : x
  2. Step 2: Convert to fraction form
    983.50/1,357.80 = 751.06/x
  3. Step 3: Cross multiply
    983.50x = 1,357.80 × 751.06
  4. Step 4: Simplify right side
    983.50x = 1,019,789.27
  5. Step 5: Solve for x
    x = 1,019,789.27/983.50
  6. Step 6: Final answer
    x = 1,036.90

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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.