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Finding the Fourth Proportional to 1,804.07, 2,706.13 and 634.11

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Solution

The fourth proportional to 1,804.07, 2,706.13 and 634.11 is: 951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.07 : 2,706.13 = 634.11 : x
  2. Step 2: Convert to fraction form
    1,804.07/2,706.13 = 634.11/x
  3. Step 3: Cross multiply
    1,804.07x = 2,706.13 × 634.11
  4. Step 4: Simplify right side
    1,804.07x = 1,715,984.89
  5. Step 5: Solve for x
    x = 1,715,984.89/1,804.07
  6. Step 6: Final answer
    x = 951.17

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1.5x scale

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.