Home / 1,071.14-1,606.95-455.37

Finding the Fourth Proportional to 1,071.14, 1,606.95 and 455.37

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Solution

The fourth proportional to 1,071.14, 1,606.95 and 455.37 is: 683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.14 : 1,606.95 = 455.37 : x
  2. Step 2: Convert to fraction form
    1,071.14/1,606.95 = 455.37/x
  3. Step 3: Cross multiply
    1,071.14x = 1,606.95 × 455.37
  4. Step 4: Simplify right side
    1,071.14x = 731,758.55
  5. Step 5: Solve for x
    x = 731,758.55/1,071.14
  6. Step 6: Final answer
    x = 683.16

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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.