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Finding the Fourth Proportional to 1,370.16, 1,890.30 and 838.62

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Solution

The fourth proportional to 1,370.16, 1,890.30 and 838.62 is: 1,156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.16 : 1,890.30 = 838.62 : x
  2. Step 2: Convert to fraction form
    1,370.16/1,890.30 = 838.62/x
  3. Step 3: Cross multiply
    1,370.16x = 1,890.30 × 838.62
  4. Step 4: Simplify right side
    1,370.16x = 1,585,238.66
  5. Step 5: Solve for x
    x = 1,585,238.66/1,370.16
  6. Step 6: Final answer
    x = 1,156.97

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1.5x scale

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.