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Finding the Fourth Proportional to 1,056.80, 1,457.02 and 683.12

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Solution

The fourth proportional to 1,056.80, 1,457.02 and 683.12 is: 941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.80 : 1,457.02 = 683.12 : x
  2. Step 2: Convert to fraction form
    1,056.80/1,457.02 = 683.12/x
  3. Step 3: Cross multiply
    1,056.80x = 1,457.02 × 683.12
  4. Step 4: Simplify right side
    1,056.80x = 995,319.50
  5. Step 5: Solve for x
    x = 995,319.50/1,056.80
  6. Step 6: Final answer
    x = 941.82

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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.