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Finding the Fourth Proportional to 1,112.76, 1,670.33 and 564.80

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Solution

The fourth proportional to 1,112.76, 1,670.33 and 564.80 is: 847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.76 : 1,670.33 = 564.80 : x
  2. Step 2: Convert to fraction form
    1,112.76/1,670.33 = 564.80/x
  3. Step 3: Cross multiply
    1,112.76x = 1,670.33 × 564.80
  4. Step 4: Simplify right side
    1,112.76x = 943,395.44
  5. Step 5: Solve for x
    x = 943,395.44/1,112.76
  6. Step 6: Final answer
    x = 847.80

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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.