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Finding the Fourth Proportional to 1,607.85, 2,411.90 and 683.31

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Solution

The fourth proportional to 1,607.85, 2,411.90 and 683.31 is: 1,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.85 : 2,411.90 = 683.31 : x
  2. Step 2: Convert to fraction form
    1,607.85/2,411.90 = 683.31/x
  3. Step 3: Cross multiply
    1,607.85x = 2,411.90 × 683.31
  4. Step 4: Simplify right side
    1,607.85x = 1,648,071.97
  5. Step 5: Solve for x
    x = 1,648,071.97/1,607.85
  6. Step 6: Final answer
    x = 1,025.02

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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.