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Finding the Fourth Proportional to 1,003.83, 1,383.08 and 750.71

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Solution

The fourth proportional to 1,003.83, 1,383.08 and 750.71 is: 1,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.83 : 1,383.08 = 750.71 : x
  2. Step 2: Convert to fraction form
    1,003.83/1,383.08 = 750.71/x
  3. Step 3: Cross multiply
    1,003.83x = 1,383.08 × 750.71
  4. Step 4: Simplify right side
    1,003.83x = 1,038,281.32
  5. Step 5: Solve for x
    x = 1,038,281.32/1,003.83
  6. Step 6: Final answer
    x = 1,034.32

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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.