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Finding the Fourth Proportional to 476.91, 711.41 and 460.91

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Solution

The fourth proportional to 476.91, 711.41 and 460.91 is: 687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.91 : 711.41 = 460.91 : x
  2. Step 2: Convert to fraction form
    476.91/711.41 = 460.91/x
  3. Step 3: Cross multiply
    476.91x = 711.41 × 460.91
  4. Step 4: Simplify right side
    476.91x = 327,895.46
  5. Step 5: Solve for x
    x = 327,895.46/476.91
  6. Step 6: Final answer
    x = 687.54

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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.