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Finding the Fourth Proportional to 1,084.17, 1,625.40 and 673.50

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Solution

The fourth proportional to 1,084.17, 1,625.40 and 673.50 is: 1,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.17 : 1,625.40 = 673.50 : x
  2. Step 2: Convert to fraction form
    1,084.17/1,625.40 = 673.50/x
  3. Step 3: Cross multiply
    1,084.17x = 1,625.40 × 673.50
  4. Step 4: Simplify right side
    1,084.17x = 1,094,706.90
  5. Step 5: Solve for x
    x = 1,094,706.90/1,084.17
  6. Step 6: Final answer
    x = 1,009.72

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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.