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Finding the Fourth Proportional to 476.89, 711.84 and 475.67

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Solution

The fourth proportional to 476.89, 711.84 and 475.67 is: 710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.89 : 711.84 = 475.67 : x
  2. Step 2: Convert to fraction form
    476.89/711.84 = 475.67/x
  3. Step 3: Cross multiply
    476.89x = 711.84 × 475.67
  4. Step 4: Simplify right side
    476.89x = 338,601.82
  5. Step 5: Solve for x
    x = 338,601.82/476.89
  6. Step 6: Final answer
    x = 710.02

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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.