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Finding the Fourth Proportional to 1,071.14, 1,606.57 and 291.18

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Solution

The fourth proportional to 1,071.14, 1,606.57 and 291.18 is: 436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.14 : 1,606.57 = 291.18 : x
  2. Step 2: Convert to fraction form
    1,071.14/1,606.57 = 291.18/x
  3. Step 3: Cross multiply
    1,071.14x = 1,606.57 × 291.18
  4. Step 4: Simplify right side
    1,071.14x = 467,801.05
  5. Step 5: Solve for x
    x = 467,801.05/1,071.14
  6. Step 6: Final answer
    x = 436.73

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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.