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Finding the Fourth Proportional to 1,604.89, 2,407.59 and 617.67

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Solution

The fourth proportional to 1,604.89, 2,407.59 and 617.67 is: 926.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.89 : 2,407.59 = 617.67 : x
  2. Step 2: Convert to fraction form
    1,604.89/2,407.59 = 617.67/x
  3. Step 3: Cross multiply
    1,604.89x = 2,407.59 × 617.67
  4. Step 4: Simplify right side
    1,604.89x = 1,487,096.12
  5. Step 5: Solve for x
    x = 1,487,096.12/1,604.89
  6. Step 6: Final answer
    x = 926.60

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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.