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Finding the Fourth Proportional to 1,457.55, 2,011.47 and 828.07

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Solution

The fourth proportional to 1,457.55, 2,011.47 and 828.07 is: 1,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.55 : 2,011.47 = 828.07 : x
  2. Step 2: Convert to fraction form
    1,457.55/2,011.47 = 828.07/x
  3. Step 3: Cross multiply
    1,457.55x = 2,011.47 × 828.07
  4. Step 4: Simplify right side
    1,457.55x = 1,665,637.96
  5. Step 5: Solve for x
    x = 1,665,637.96/1,457.55
  6. Step 6: Final answer
    x = 1,142.77

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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.