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Finding the Fourth Proportional to 488.63, 669.41 and 470.14

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Solution

The fourth proportional to 488.63, 669.41 and 470.14 is: 644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.63 : 669.41 = 470.14 : x
  2. Step 2: Convert to fraction form
    488.63/669.41 = 470.14/x
  3. Step 3: Cross multiply
    488.63x = 669.41 × 470.14
  4. Step 4: Simplify right side
    488.63x = 314,716.42
  5. Step 5: Solve for x
    x = 314,716.42/488.63
  6. Step 6: Final answer
    x = 644.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.