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Finding the Fourth Proportional to 1,084.94, 1,627.10 and 304.89

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Solution

The fourth proportional to 1,084.94, 1,627.10 and 304.89 is: 457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.94 : 1,627.10 = 304.89 : x
  2. Step 2: Convert to fraction form
    1,084.94/1,627.10 = 304.89/x
  3. Step 3: Cross multiply
    1,084.94x = 1,627.10 × 304.89
  4. Step 4: Simplify right side
    1,084.94x = 496,080.04
  5. Step 5: Solve for x
    x = 496,080.04/1,084.94
  6. Step 6: Final answer
    x = 457.24

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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.