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Finding the Fourth Proportional to 459.30, 632.97 and 380.34

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Solution

The fourth proportional to 459.30, 632.97 and 380.34 is: 524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.30 : 632.97 = 380.34 : x
  2. Step 2: Convert to fraction form
    459.30/632.97 = 380.34/x
  3. Step 3: Cross multiply
    459.30x = 632.97 × 380.34
  4. Step 4: Simplify right side
    459.30x = 240,743.81
  5. Step 5: Solve for x
    x = 240,743.81/459.30
  6. Step 6: Final answer
    x = 524.15

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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.