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Finding the Fourth Proportional to 893, 1,230.98 and 768

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Solution

The fourth proportional to 893, 1,230.98 and 768 is: 1,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    893 : 1,230.98 = 768 : x
  2. Step 2: Convert to fraction form
    893/1,230.98 = 768/x
  3. Step 3: Cross multiply
    893x = 1,230.98 × 768
  4. Step 4: Simplify right side
    893x = 945,392.64
  5. Step 5: Solve for x
    x = 945,392.64/893
  6. Step 6: Final answer
    x = 1,058.67

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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.