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Finding the Fourth Proportional to 1,376, 1,898.86 and 778.49

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Solution

The fourth proportional to 1,376, 1,898.86 and 778.49 is: 1,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376 : 1,898.86 = 778.49 : x
  2. Step 2: Convert to fraction form
    1,376/1,898.86 = 778.49/x
  3. Step 3: Cross multiply
    1,376x = 1,898.86 × 778.49
  4. Step 4: Simplify right side
    1,376x = 1,478,230.13
  5. Step 5: Solve for x
    x = 1,478,230.13/1,376
  6. Step 6: Final answer
    x = 1,074.30

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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.