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Finding the Fourth Proportional to 1,376.10, 1,898.55 and 816.57

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Solution

The fourth proportional to 1,376.10, 1,898.55 and 816.57 is: 1,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.10 : 1,898.55 = 816.57 : x
  2. Step 2: Convert to fraction form
    1,376.10/1,898.55 = 816.57/x
  3. Step 3: Cross multiply
    1,376.10x = 1,898.55 × 816.57
  4. Step 4: Simplify right side
    1,376.10x = 1,550,298.97
  5. Step 5: Solve for x
    x = 1,550,298.97/1,376.10
  6. Step 6: Final answer
    x = 1,126.59

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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.