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Finding the Fourth Proportional to 893.40, 1,338.48 and 778.20

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Solution

The fourth proportional to 893.40, 1,338.48 and 778.20 is: 1,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.40 : 1,338.48 = 778.20 : x
  2. Step 2: Convert to fraction form
    893.40/1,338.48 = 778.20/x
  3. Step 3: Cross multiply
    893.40x = 1,338.48 × 778.20
  4. Step 4: Simplify right side
    893.40x = 1,041,605.14
  5. Step 5: Solve for x
    x = 1,041,605.14/893.40
  6. Step 6: Final answer
    x = 1,165.89

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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.