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Finding the Fourth Proportional to 2,310.69, 3,465.75 and 644.94

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Solution

The fourth proportional to 2,310.69, 3,465.75 and 644.94 is: 967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.69 : 3,465.75 = 644.94 : x
  2. Step 2: Convert to fraction form
    2,310.69/3,465.75 = 644.94/x
  3. Step 3: Cross multiply
    2,310.69x = 3,465.75 × 644.94
  4. Step 4: Simplify right side
    2,310.69x = 2,235,200.81
  5. Step 5: Solve for x
    x = 2,235,200.81/2,310.69
  6. Step 6: Final answer
    x = 967.33

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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.