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Finding the Fourth Proportional to 1,071.13, 1,606.75 and 301.69

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Solution

The fourth proportional to 1,071.13, 1,606.75 and 301.69 is: 452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.13 : 1,606.75 = 301.69 : x
  2. Step 2: Convert to fraction form
    1,071.13/1,606.75 = 301.69/x
  3. Step 3: Cross multiply
    1,071.13x = 1,606.75 × 301.69
  4. Step 4: Simplify right side
    1,071.13x = 484,740.41
  5. Step 5: Solve for x
    x = 484,740.41/1,071.13
  6. Step 6: Final answer
    x = 452.55

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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.