Home / 1,147.38-1,583.40-705.29

Finding the Fourth Proportional to 1,147.38, 1,583.40 and 705.29

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Solution

The fourth proportional to 1,147.38, 1,583.40 and 705.29 is: 973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.38 : 1,583.40 = 705.29 : x
  2. Step 2: Convert to fraction form
    1,147.38/1,583.40 = 705.29/x
  3. Step 3: Cross multiply
    1,147.38x = 1,583.40 × 705.29
  4. Step 4: Simplify right side
    1,147.38x = 1,116,755.85
  5. Step 5: Solve for x
    x = 1,116,755.85/1,147.38
  6. Step 6: Final answer
    x = 973.31

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1.5x scale

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.