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Finding the Fourth Proportional to 1,171.63, 1,761 and 783.01

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Solution

The fourth proportional to 1,171.63, 1,761 and 783.01 is: 1,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.63 : 1,761 = 783.01 : x
  2. Step 2: Convert to fraction form
    1,171.63/1,761 = 783.01/x
  3. Step 3: Cross multiply
    1,171.63x = 1,761 × 783.01
  4. Step 4: Simplify right side
    1,171.63x = 1,378,880.61
  5. Step 5: Solve for x
    x = 1,378,880.61/1,171.63
  6. Step 6: Final answer
    x = 1,176.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.