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Finding the Fourth Proportional to 1,620.33, 2,430.86 and 646.41

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Solution

The fourth proportional to 1,620.33, 2,430.86 and 646.41 is: 969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.33 : 2,430.86 = 646.41 : x
  2. Step 2: Convert to fraction form
    1,620.33/2,430.86 = 646.41/x
  3. Step 3: Cross multiply
    1,620.33x = 2,430.86 × 646.41
  4. Step 4: Simplify right side
    1,620.33x = 1,571,332.21
  5. Step 5: Solve for x
    x = 1,571,332.21/1,620.33
  6. Step 6: Final answer
    x = 969.76

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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.