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Finding the Fourth Proportional to 667.50, 919.20 and 665.46

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Solution

The fourth proportional to 667.50, 919.20 and 665.46 is: 916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.50 : 919.20 = 665.46 : x
  2. Step 2: Convert to fraction form
    667.50/919.20 = 665.46/x
  3. Step 3: Cross multiply
    667.50x = 919.20 × 665.46
  4. Step 4: Simplify right side
    667.50x = 611,690.83
  5. Step 5: Solve for x
    x = 611,690.83/667.50
  6. Step 6: Final answer
    x = 916.39

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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.