Home / 1,160.88-1,741.01-430.05

Finding the Fourth Proportional to 1,160.88, 1,741.01 and 430.05

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Solution

The fourth proportional to 1,160.88, 1,741.01 and 430.05 is: 644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.88 : 1,741.01 = 430.05 : x
  2. Step 2: Convert to fraction form
    1,160.88/1,741.01 = 430.05/x
  3. Step 3: Cross multiply
    1,160.88x = 1,741.01 × 430.05
  4. Step 4: Simplify right side
    1,160.88x = 748,719.20
  5. Step 5: Solve for x
    x = 748,719.20/1,160.88
  6. Step 6: Final answer
    x = 644.96

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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.