Home / 1,132.10-1,698.08-401.58

Finding the Fourth Proportional to 1,132.10, 1,698.08 and 401.58

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Solution

The fourth proportional to 1,132.10, 1,698.08 and 401.58 is: 602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.10 : 1,698.08 = 401.58 : x
  2. Step 2: Convert to fraction form
    1,132.10/1,698.08 = 401.58/x
  3. Step 3: Cross multiply
    1,132.10x = 1,698.08 × 401.58
  4. Step 4: Simplify right side
    1,132.10x = 681,914.97
  5. Step 5: Solve for x
    x = 681,914.97/1,132.10
  6. Step 6: Final answer
    x = 602.35

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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.