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Finding the Fourth Proportional to 1,445.70, 1,995.06 and 856.44

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Solution

The fourth proportional to 1,445.70, 1,995.06 and 856.44 is: 1,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.70 : 1,995.06 = 856.44 : x
  2. Step 2: Convert to fraction form
    1,445.70/1,995.06 = 856.44/x
  3. Step 3: Cross multiply
    1,445.70x = 1,995.06 × 856.44
  4. Step 4: Simplify right side
    1,445.70x = 1,708,649.19
  5. Step 5: Solve for x
    x = 1,708,649.19/1,445.70
  6. Step 6: Final answer
    x = 1,181.88

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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.