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Finding the Fourth Proportional to 459.39, 689.42 and 286.31

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Solution

The fourth proportional to 459.39, 689.42 and 286.31 is: 429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.39 : 689.42 = 286.31 : x
  2. Step 2: Convert to fraction form
    459.39/689.42 = 286.31/x
  3. Step 3: Cross multiply
    459.39x = 689.42 × 286.31
  4. Step 4: Simplify right side
    459.39x = 197,384.39
  5. Step 5: Solve for x
    x = 197,384.39/459.39
  6. Step 6: Final answer
    x = 429.67

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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.