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Finding the Fourth Proportional to 1,560.48, 2,340.72 and 683.84

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Solution

The fourth proportional to 1,560.48, 2,340.72 and 683.84 is: 1,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.48 : 2,340.72 = 683.84 : x
  2. Step 2: Convert to fraction form
    1,560.48/2,340.72 = 683.84/x
  3. Step 3: Cross multiply
    1,560.48x = 2,340.72 × 683.84
  4. Step 4: Simplify right side
    1,560.48x = 1,600,677.96
  5. Step 5: Solve for x
    x = 1,600,677.96/1,560.48
  6. Step 6: Final answer
    x = 1,025.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.