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Finding the Fourth Proportional to 476.00, 711.06 and 337.95

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Solution

The fourth proportional to 476.00, 711.06 and 337.95 is: 504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.00 : 711.06 = 337.95 : x
  2. Step 2: Convert to fraction form
    476.00/711.06 = 337.95/x
  3. Step 3: Cross multiply
    476.00x = 711.06 × 337.95
  4. Step 4: Simplify right side
    476.00x = 240,302.73
  5. Step 5: Solve for x
    x = 240,302.73/476.00
  6. Step 6: Final answer
    x = 504.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.