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Finding the Fourth Proportional to 459.62, 686.25 and 455

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Solution

The fourth proportional to 459.62, 686.25 and 455 is: 679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.62 : 686.25 = 455 : x
  2. Step 2: Convert to fraction form
    459.62/686.25 = 455/x
  3. Step 3: Cross multiply
    459.62x = 686.25 × 455
  4. Step 4: Simplify right side
    459.62x = 312,241.48
  5. Step 5: Solve for x
    x = 312,241.48/459.62
  6. Step 6: Final answer
    x = 679.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.