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Finding the Fourth Proportional to 1,689.29, 2,534.09 and 456.67

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Solution

The fourth proportional to 1,689.29, 2,534.09 and 456.67 is: 685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.29 : 2,534.09 = 456.67 : x
  2. Step 2: Convert to fraction form
    1,689.29/2,534.09 = 456.67/x
  3. Step 3: Cross multiply
    1,689.29x = 2,534.09 × 456.67
  4. Step 4: Simplify right side
    1,689.29x = 1,157,242.88
  5. Step 5: Solve for x
    x = 1,157,242.88/1,689.29
  6. Step 6: Final answer
    x = 685.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.