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Finding the Fourth Proportional to 686.84, 1,028.53 and 455.03

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Solution

The fourth proportional to 686.84, 1,028.53 and 455.03 is: 681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.84 : 1,028.53 = 455.03 : x
  2. Step 2: Convert to fraction form
    686.84/1,028.53 = 455.03/x
  3. Step 3: Cross multiply
    686.84x = 1,028.53 × 455.03
  4. Step 4: Simplify right side
    686.84x = 468,015.15
  5. Step 5: Solve for x
    x = 468,015.15/686.84
  6. Step 6: Final answer
    x = 681.40

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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.