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Finding the Fourth Proportional to 459.45, 689.51 and 286.37

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Solution

The fourth proportional to 459.45, 689.51 and 286.37 is: 429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.45 : 689.51 = 286.37 : x
  2. Step 2: Convert to fraction form
    459.45/689.51 = 286.37/x
  3. Step 3: Cross multiply
    459.45x = 689.51 × 286.37
  4. Step 4: Simplify right side
    459.45x = 197,454.98
  5. Step 5: Solve for x
    x = 197,454.98/459.45
  6. Step 6: Final answer
    x = 429.76

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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.