Home / 1,147.40-1,720.34-416.89

Finding the Fourth Proportional to 1,147.40, 1,720.34 and 416.89

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Solution

The fourth proportional to 1,147.40, 1,720.34 and 416.89 is: 625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.40 : 1,720.34 = 416.89 : x
  2. Step 2: Convert to fraction form
    1,147.40/1,720.34 = 416.89/x
  3. Step 3: Cross multiply
    1,147.40x = 1,720.34 × 416.89
  4. Step 4: Simplify right side
    1,147.40x = 717,192.54
  5. Step 5: Solve for x
    x = 717,192.54/1,147.40
  6. Step 6: Final answer
    x = 625.06

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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.