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Finding the Fourth Proportional to 1,603.63, 2,405.54 and 782.61

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Solution

The fourth proportional to 1,603.63, 2,405.54 and 782.61 is: 1,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.63 : 2,405.54 = 782.61 : x
  2. Step 2: Convert to fraction form
    1,603.63/2,405.54 = 782.61/x
  3. Step 3: Cross multiply
    1,603.63x = 2,405.54 × 782.61
  4. Step 4: Simplify right side
    1,603.63x = 1,882,599.66
  5. Step 5: Solve for x
    x = 1,882,599.66/1,603.63
  6. Step 6: Final answer
    x = 1,173.96

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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.