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Finding the Fourth Proportional to 476.49, 711.80 and 338.45

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Solution

The fourth proportional to 476.49, 711.80 and 338.45 is: 505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.49 : 711.80 = 338.45 : x
  2. Step 2: Convert to fraction form
    476.49/711.80 = 338.45/x
  3. Step 3: Cross multiply
    476.49x = 711.80 × 338.45
  4. Step 4: Simplify right side
    476.49x = 240,908.71
  5. Step 5: Solve for x
    x = 240,908.71/476.49
  6. Step 6: Final answer
    x = 505.59

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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.