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Finding the Fourth Proportional to 1,652.77, 2,476.91 and 611.79

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Solution

The fourth proportional to 1,652.77, 2,476.91 and 611.79 is: 916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.77 : 2,476.91 = 611.79 : x
  2. Step 2: Convert to fraction form
    1,652.77/2,476.91 = 611.79/x
  3. Step 3: Cross multiply
    1,652.77x = 2,476.91 × 611.79
  4. Step 4: Simplify right side
    1,652.77x = 1,515,348.77
  5. Step 5: Solve for x
    x = 1,515,348.77/1,652.77
  6. Step 6: Final answer
    x = 916.86

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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.