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Finding the Fourth Proportional to 839.63, 1,253.07 and 783.93

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Solution

The fourth proportional to 839.63, 1,253.07 and 783.93 is: 1,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.63 : 1,253.07 = 783.93 : x
  2. Step 2: Convert to fraction form
    839.63/1,253.07 = 783.93/x
  3. Step 3: Cross multiply
    839.63x = 1,253.07 × 783.93
  4. Step 4: Simplify right side
    839.63x = 982,319.17
  5. Step 5: Solve for x
    x = 982,319.17/839.63
  6. Step 6: Final answer
    x = 1,169.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.