Home / 1,541.04-2,311.33-430.53

Finding the Fourth Proportional to 1,541.04, 2,311.33 and 430.53

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Solution

The fourth proportional to 1,541.04, 2,311.33 and 430.53 is: 645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.04 : 2,311.33 = 430.53 : x
  2. Step 2: Convert to fraction form
    1,541.04/2,311.33 = 430.53/x
  3. Step 3: Cross multiply
    1,541.04x = 2,311.33 × 430.53
  4. Step 4: Simplify right side
    1,541.04x = 995,096.90
  5. Step 5: Solve for x
    x = 995,096.90/1,541.04
  6. Step 6: Final answer
    x = 645.73

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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.