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Finding the Fourth Proportional to 670.98, 1,006.74 and 363.18

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Solution

The fourth proportional to 670.98, 1,006.74 and 363.18 is: 544.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.98 : 1,006.74 = 363.18 : x
  2. Step 2: Convert to fraction form
    670.98/1,006.74 = 363.18/x
  3. Step 3: Cross multiply
    670.98x = 1,006.74 × 363.18
  4. Step 4: Simplify right side
    670.98x = 365,627.83
  5. Step 5: Solve for x
    x = 365,627.83/670.98
  6. Step 6: Final answer
    x = 544.92

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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.