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Finding the Fourth Proportional to 476.94, 714.03 and 303.81

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Solution

The fourth proportional to 476.94, 714.03 and 303.81 is: 454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.94 : 714.03 = 303.81 : x
  2. Step 2: Convert to fraction form
    476.94/714.03 = 303.81/x
  3. Step 3: Cross multiply
    476.94x = 714.03 × 303.81
  4. Step 4: Simplify right side
    476.94x = 216,929.45
  5. Step 5: Solve for x
    x = 216,929.45/476.94
  6. Step 6: Final answer
    x = 454.84

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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.