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Finding the Fourth Proportional to 483.76, 667.16 and 380.08

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Solution

The fourth proportional to 483.76, 667.16 and 380.08 is: 524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.76 : 667.16 = 380.08 : x
  2. Step 2: Convert to fraction form
    483.76/667.16 = 380.08/x
  3. Step 3: Cross multiply
    483.76x = 667.16 × 380.08
  4. Step 4: Simplify right side
    483.76x = 253,574.17
  5. Step 5: Solve for x
    x = 253,574.17/483.76
  6. Step 6: Final answer
    x = 524.17

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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.