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Finding the Fourth Proportional to 1,607.96, 2,411.17 and 785.27

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Solution

The fourth proportional to 1,607.96, 2,411.17 and 785.27 is: 1,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.96 : 2,411.17 = 785.27 : x
  2. Step 2: Convert to fraction form
    1,607.96/2,411.17 = 785.27/x
  3. Step 3: Cross multiply
    1,607.96x = 2,411.17 × 785.27
  4. Step 4: Simplify right side
    1,607.96x = 1,893,416.75
  5. Step 5: Solve for x
    x = 1,893,416.75/1,607.96
  6. Step 6: Final answer
    x = 1,177.53

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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.