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Finding the Fourth Proportional to 475.78, 710.21 and 464.98

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Solution

The fourth proportional to 475.78, 710.21 and 464.98 is: 694.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.78 : 710.21 = 464.98 : x
  2. Step 2: Convert to fraction form
    475.78/710.21 = 464.98/x
  3. Step 3: Cross multiply
    475.78x = 710.21 × 464.98
  4. Step 4: Simplify right side
    475.78x = 330,233.45
  5. Step 5: Solve for x
    x = 330,233.45/475.78
  6. Step 6: Final answer
    x = 694.09

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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.