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Finding the Fourth Proportional to 1,056.75, 1,457.13 and 683.25

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Solution

The fourth proportional to 1,056.75, 1,457.13 and 683.25 is: 942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.75 : 1,457.13 = 683.25 : x
  2. Step 2: Convert to fraction form
    1,056.75/1,457.13 = 683.25/x
  3. Step 3: Cross multiply
    1,056.75x = 1,457.13 × 683.25
  4. Step 4: Simplify right side
    1,056.75x = 995,584.07
  5. Step 5: Solve for x
    x = 995,584.07/1,056.75
  6. Step 6: Final answer
    x = 942.12

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Double scale
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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.