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Finding the Fourth Proportional to 459.34, 687.99 and 355.81

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Solution

The fourth proportional to 459.34, 687.99 and 355.81 is: 532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.34 : 687.99 = 355.81 : x
  2. Step 2: Convert to fraction form
    459.34/687.99 = 355.81/x
  3. Step 3: Cross multiply
    459.34x = 687.99 × 355.81
  4. Step 4: Simplify right side
    459.34x = 244,794.63
  5. Step 5: Solve for x
    x = 244,794.63/459.34
  6. Step 6: Final answer
    x = 532.93

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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.