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Finding the Fourth Proportional to 476.61, 714.40 and 311.56

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Solution

The fourth proportional to 476.61, 714.40 and 311.56 is: 467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.61 : 714.40 = 311.56 : x
  2. Step 2: Convert to fraction form
    476.61/714.40 = 311.56/x
  3. Step 3: Cross multiply
    476.61x = 714.40 × 311.56
  4. Step 4: Simplify right side
    476.61x = 222,575.90
  5. Step 5: Solve for x
    x = 222,575.90/476.61
  6. Step 6: Final answer
    x = 467.00

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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.