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Finding the Fourth Proportional to 667.19, 919.01 and 470.36

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Solution

The fourth proportional to 667.19, 919.01 and 470.36 is: 647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.19 : 919.01 = 470.36 : x
  2. Step 2: Convert to fraction form
    667.19/919.01 = 470.36/x
  3. Step 3: Cross multiply
    667.19x = 919.01 × 470.36
  4. Step 4: Simplify right side
    667.19x = 432,269.02
  5. Step 5: Solve for x
    x = 432,269.02/667.19
  6. Step 6: Final answer
    x = 647.89

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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.