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Finding the Fourth Proportional to 459.84, 687.30 and 400.82

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Solution

The fourth proportional to 459.84, 687.30 and 400.82 is: 599.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 687.30 = 400.82 : x
  2. Step 2: Convert to fraction form
    459.84/687.30 = 400.82/x
  3. Step 3: Cross multiply
    459.84x = 687.30 × 400.82
  4. Step 4: Simplify right side
    459.84x = 275,483.59
  5. Step 5: Solve for x
    x = 275,483.59/459.84
  6. Step 6: Final answer
    x = 599.09

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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.