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Finding the Fourth Proportional to 1,056.60, 1,457.63 and 683.70

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Solution

The fourth proportional to 1,056.60, 1,457.63 and 683.70 is: 943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.60 : 1,457.63 = 683.70 : x
  2. Step 2: Convert to fraction form
    1,056.60/1,457.63 = 683.70/x
  3. Step 3: Cross multiply
    1,056.60x = 1,457.63 × 683.70
  4. Step 4: Simplify right side
    1,056.60x = 996,583.68
  5. Step 5: Solve for x
    x = 996,583.68/1,056.60
  6. Step 6: Final answer
    x = 943.20

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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.