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Finding the Fourth Proportional to 1,373.70, 1,896.30 and 876.98

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Solution

The fourth proportional to 1,373.70, 1,896.30 and 876.98 is: 1,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.70 : 1,896.30 = 876.98 : x
  2. Step 2: Convert to fraction form
    1,373.70/1,896.30 = 876.98/x
  3. Step 3: Cross multiply
    1,373.70x = 1,896.30 × 876.98
  4. Step 4: Simplify right side
    1,373.70x = 1,663,017.17
  5. Step 5: Solve for x
    x = 1,663,017.17/1,373.70
  6. Step 6: Final answer
    x = 1,210.61

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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.