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Finding the Fourth Proportional to 644.91, 890.06 and 470.67

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Solution

The fourth proportional to 644.91, 890.06 and 470.67 is: 649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.91 : 890.06 = 470.67 : x
  2. Step 2: Convert to fraction form
    644.91/890.06 = 470.67/x
  3. Step 3: Cross multiply
    644.91x = 890.06 × 470.67
  4. Step 4: Simplify right side
    644.91x = 418,922.19
  5. Step 5: Solve for x
    x = 418,922.19/644.91
  6. Step 6: Final answer
    x = 649.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.