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Finding the Fourth Proportional to 1,056.13, 1,457.25 and 682.99

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Solution

The fourth proportional to 1,056.13, 1,457.25 and 682.99 is: 942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.13 : 1,457.25 = 682.99 : x
  2. Step 2: Convert to fraction form
    1,056.13/1,457.25 = 682.99/x
  3. Step 3: Cross multiply
    1,056.13x = 1,457.25 × 682.99
  4. Step 4: Simplify right side
    1,056.13x = 995,287.18
  5. Step 5: Solve for x
    x = 995,287.18/1,056.13
  6. Step 6: Final answer
    x = 942.39

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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.