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Finding the Fourth Proportional to 783.83, 1,173.42 and 750.00

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Solution

The fourth proportional to 783.83, 1,173.42 and 750.00 is: 1,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.83 : 1,173.42 = 750.00 : x
  2. Step 2: Convert to fraction form
    783.83/1,173.42 = 750.00/x
  3. Step 3: Cross multiply
    783.83x = 1,173.42 × 750.00
  4. Step 4: Simplify right side
    783.83x = 880,064.31
  5. Step 5: Solve for x
    x = 880,064.31/783.83
  6. Step 6: Final answer
    x = 1,122.78

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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.