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Finding the Fourth Proportional to 1,689.49, 2,534.12 and 456.87

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Solution

The fourth proportional to 1,689.49, 2,534.12 and 456.87 is: 685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.49 : 2,534.12 = 456.87 : x
  2. Step 2: Convert to fraction form
    1,689.49/2,534.12 = 456.87/x
  3. Step 3: Cross multiply
    1,689.49x = 2,534.12 × 456.87
  4. Step 4: Simplify right side
    1,689.49x = 1,157,772.34
  5. Step 5: Solve for x
    x = 1,157,772.34/1,689.49
  6. Step 6: Final answer
    x = 685.28

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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.