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Finding the Fourth Proportional to 1,376, 1,898.90 and 755

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Solution

The fourth proportional to 1,376, 1,898.90 and 755 is: 1,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376 : 1,898.90 = 755 : x
  2. Step 2: Convert to fraction form
    1,376/1,898.90 = 755/x
  3. Step 3: Cross multiply
    1,376x = 1,898.90 × 755
  4. Step 4: Simplify right side
    1,376x = 1,433,669.50
  5. Step 5: Solve for x
    x = 1,433,669.50/1,376
  6. Step 6: Final answer
    x = 1,041.91

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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.