Home / 1,071.30-1,478.61-971.22

Finding the Fourth Proportional to 1,071.30, 1,478.61 and 971.22

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Solution

The fourth proportional to 1,071.30, 1,478.61 and 971.22 is: 1,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.30 : 1,478.61 = 971.22 : x
  2. Step 2: Convert to fraction form
    1,071.30/1,478.61 = 971.22/x
  3. Step 3: Cross multiply
    1,071.30x = 1,478.61 × 971.22
  4. Step 4: Simplify right side
    1,071.30x = 1,436,055.60
  5. Step 5: Solve for x
    x = 1,436,055.60/1,071.30
  6. Step 6: Final answer
    x = 1,340.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.