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Finding the Fourth Proportional to 1,457.46, 2,011.13 and 828.06

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Solution

The fourth proportional to 1,457.46, 2,011.13 and 828.06 is: 1,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.46 : 2,011.13 = 828.06 : x
  2. Step 2: Convert to fraction form
    1,457.46/2,011.13 = 828.06/x
  3. Step 3: Cross multiply
    1,457.46x = 2,011.13 × 828.06
  4. Step 4: Simplify right side
    1,457.46x = 1,665,327.73
  5. Step 5: Solve for x
    x = 1,665,327.73/1,457.46
  6. Step 6: Final answer
    x = 1,142.62

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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.