Home / 1,071.30-1,606.67-454.69

Finding the Fourth Proportional to 1,071.30, 1,606.67 and 454.69

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Solution

The fourth proportional to 1,071.30, 1,606.67 and 454.69 is: 681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.30 : 1,606.67 = 454.69 : x
  2. Step 2: Convert to fraction form
    1,071.30/1,606.67 = 454.69/x
  3. Step 3: Cross multiply
    1,071.30x = 1,606.67 × 454.69
  4. Step 4: Simplify right side
    1,071.30x = 730,538.22
  5. Step 5: Solve for x
    x = 730,538.22/1,071.30
  6. Step 6: Final answer
    x = 681.92

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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.