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Finding the Fourth Proportional to 475.00, 707.97 and 465.89

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Solution

The fourth proportional to 475.00, 707.97 and 465.89 is: 694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.00 : 707.97 = 465.89 : x
  2. Step 2: Convert to fraction form
    475.00/707.97 = 465.89/x
  3. Step 3: Cross multiply
    475.00x = 707.97 × 465.89
  4. Step 4: Simplify right side
    475.00x = 329,830.27
  5. Step 5: Solve for x
    x = 329,830.27/475.00
  6. Step 6: Final answer
    x = 694.39

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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.