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Finding the Fourth Proportional to 1,650.69, 2,476.38 and 610.69

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Solution

The fourth proportional to 1,650.69, 2,476.38 and 610.69 is: 916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.69 : 2,476.38 = 610.69 : x
  2. Step 2: Convert to fraction form
    1,650.69/2,476.38 = 610.69/x
  3. Step 3: Cross multiply
    1,650.69x = 2,476.38 × 610.69
  4. Step 4: Simplify right side
    1,650.69x = 1,512,300.50
  5. Step 5: Solve for x
    x = 1,512,300.50/1,650.69
  6. Step 6: Final answer
    x = 916.16

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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.