Home / 1,431.56-2,147.16-457.67

Finding the Fourth Proportional to 1,431.56, 2,147.16 and 457.67

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Solution

The fourth proportional to 1,431.56, 2,147.16 and 457.67 is: 686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.56 : 2,147.16 = 457.67 : x
  2. Step 2: Convert to fraction form
    1,431.56/2,147.16 = 457.67/x
  3. Step 3: Cross multiply
    1,431.56x = 2,147.16 × 457.67
  4. Step 4: Simplify right side
    1,431.56x = 982,690.72
  5. Step 5: Solve for x
    x = 982,690.72/1,431.56
  6. Step 6: Final answer
    x = 686.45

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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.