Home / 1,160.45-1,741.38-430.64

Finding the Fourth Proportional to 1,160.45, 1,741.38 and 430.64

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Solution

The fourth proportional to 1,160.45, 1,741.38 and 430.64 is: 646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.45 : 1,741.38 = 430.64 : x
  2. Step 2: Convert to fraction form
    1,160.45/1,741.38 = 430.64/x
  3. Step 3: Cross multiply
    1,160.45x = 1,741.38 × 430.64
  4. Step 4: Simplify right side
    1,160.45x = 749,907.88
  5. Step 5: Solve for x
    x = 749,907.88/1,160.45
  6. Step 6: Final answer
    x = 646.22

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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.