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Finding the Fourth Proportional to 1,009.75, 1,393.42 and 567.80

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Solution

The fourth proportional to 1,009.75, 1,393.42 and 567.80 is: 783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.75 : 1,393.42 = 567.80 : x
  2. Step 2: Convert to fraction form
    1,009.75/1,393.42 = 567.80/x
  3. Step 3: Cross multiply
    1,009.75x = 1,393.42 × 567.80
  4. Step 4: Simplify right side
    1,009.75x = 791,183.88
  5. Step 5: Solve for x
    x = 791,183.88/1,009.75
  6. Step 6: Final answer
    x = 783.54

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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.