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Finding the Fourth Proportional to 459.48, 634.15 and 284.88

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Solution

The fourth proportional to 459.48, 634.15 and 284.88 is: 393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.48 : 634.15 = 284.88 : x
  2. Step 2: Convert to fraction form
    459.48/634.15 = 284.88/x
  3. Step 3: Cross multiply
    459.48x = 634.15 × 284.88
  4. Step 4: Simplify right side
    459.48x = 180,656.65
  5. Step 5: Solve for x
    x = 180,656.65/459.48
  6. Step 6: Final answer
    x = 393.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.