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Finding the Fourth Proportional to 2,897.65, 4,346.41 and 706.39

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Solution

The fourth proportional to 2,897.65, 4,346.41 and 706.39 is: 1,059.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.65 : 4,346.41 = 706.39 : x
  2. Step 2: Convert to fraction form
    2,897.65/4,346.41 = 706.39/x
  3. Step 3: Cross multiply
    2,897.65x = 4,346.41 × 706.39
  4. Step 4: Simplify right side
    2,897.65x = 3,070,260.56
  5. Step 5: Solve for x
    x = 3,070,260.56/2,897.65
  6. Step 6: Final answer
    x = 1,059.57

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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.