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Finding the Fourth Proportional to 459.31, 688.14 and 382.76

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Solution

The fourth proportional to 459.31, 688.14 and 382.76 is: 573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.31 : 688.14 = 382.76 : x
  2. Step 2: Convert to fraction form
    459.31/688.14 = 382.76/x
  3. Step 3: Cross multiply
    459.31x = 688.14 × 382.76
  4. Step 4: Simplify right side
    459.31x = 263,392.47
  5. Step 5: Solve for x
    x = 263,392.47/459.31
  6. Step 6: Final answer
    x = 573.45

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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.