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Finding the Fourth Proportional to 667.95, 1,002.38 and 612.36

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Solution

The fourth proportional to 667.95, 1,002.38 and 612.36 is: 918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.95 : 1,002.38 = 612.36 : x
  2. Step 2: Convert to fraction form
    667.95/1,002.38 = 612.36/x
  3. Step 3: Cross multiply
    667.95x = 1,002.38 × 612.36
  4. Step 4: Simplify right side
    667.95x = 613,814.36
  5. Step 5: Solve for x
    x = 613,814.36/667.95
  6. Step 6: Final answer
    x = 918.96

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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.