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Finding the Fourth Proportional to 459.56, 688.37 and 286.31

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Solution

The fourth proportional to 459.56, 688.37 and 286.31 is: 428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.56 : 688.37 = 286.31 : x
  2. Step 2: Convert to fraction form
    459.56/688.37 = 286.31/x
  3. Step 3: Cross multiply
    459.56x = 688.37 × 286.31
  4. Step 4: Simplify right side
    459.56x = 197,082.34
  5. Step 5: Solve for x
    x = 197,082.34/459.56
  6. Step 6: Final answer
    x = 428.85

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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.