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Finding the Fourth Proportional to 1,266.53, 1,897.74 and 778.55

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Solution

The fourth proportional to 1,266.53, 1,897.74 and 778.55 is: 1,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.53 : 1,897.74 = 778.55 : x
  2. Step 2: Convert to fraction form
    1,266.53/1,897.74 = 778.55/x
  3. Step 3: Cross multiply
    1,266.53x = 1,897.74 × 778.55
  4. Step 4: Simplify right side
    1,266.53x = 1,477,475.99
  5. Step 5: Solve for x
    x = 1,477,475.99/1,266.53
  6. Step 6: Final answer
    x = 1,166.56

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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.