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Finding the Fourth Proportional to 472.00, 706.62 and 307.29

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Solution

The fourth proportional to 472.00, 706.62 and 307.29 is: 460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.00 : 706.62 = 307.29 : x
  2. Step 2: Convert to fraction form
    472.00/706.62 = 307.29/x
  3. Step 3: Cross multiply
    472.00x = 706.62 × 307.29
  4. Step 4: Simplify right side
    472.00x = 217,133.73
  5. Step 5: Solve for x
    x = 217,133.73/472.00
  6. Step 6: Final answer
    x = 460.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.