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Finding the Fourth Proportional to 1,057.29, 1,457.08 and 762.04

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Solution

The fourth proportional to 1,057.29, 1,457.08 and 762.04 is: 1,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.29 : 1,457.08 = 762.04 : x
  2. Step 2: Convert to fraction form
    1,057.29/1,457.08 = 762.04/x
  3. Step 3: Cross multiply
    1,057.29x = 1,457.08 × 762.04
  4. Step 4: Simplify right side
    1,057.29x = 1,110,353.24
  5. Step 5: Solve for x
    x = 1,110,353.24/1,057.29
  6. Step 6: Final answer
    x = 1,050.19

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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.