Home / 1,147.90-1,583.87-706.06

Finding the Fourth Proportional to 1,147.90, 1,583.87 and 706.06

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Solution

The fourth proportional to 1,147.90, 1,583.87 and 706.06 is: 974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.90 : 1,583.87 = 706.06 : x
  2. Step 2: Convert to fraction form
    1,147.90/1,583.87 = 706.06/x
  3. Step 3: Cross multiply
    1,147.90x = 1,583.87 × 706.06
  4. Step 4: Simplify right side
    1,147.90x = 1,118,305.06
  5. Step 5: Solve for x
    x = 1,118,305.06/1,147.90
  6. Step 6: Final answer
    x = 974.22

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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.