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Finding the Fourth Proportional to 1,343.90, 1,853.61 and 901.64

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Solution

The fourth proportional to 1,343.90, 1,853.61 and 901.64 is: 1,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.90 : 1,853.61 = 901.64 : x
  2. Step 2: Convert to fraction form
    1,343.90/1,853.61 = 901.64/x
  3. Step 3: Cross multiply
    1,343.90x = 1,853.61 × 901.64
  4. Step 4: Simplify right side
    1,343.90x = 1,671,288.92
  5. Step 5: Solve for x
    x = 1,671,288.92/1,343.90
  6. Step 6: Final answer
    x = 1,243.61

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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.