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Finding the Fourth Proportional to 670.18, 998.20 and 635.50

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Solution

The fourth proportional to 670.18, 998.20 and 635.50 is: 946.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.18 : 998.20 = 635.50 : x
  2. Step 2: Convert to fraction form
    670.18/998.20 = 635.50/x
  3. Step 3: Cross multiply
    670.18x = 998.20 × 635.50
  4. Step 4: Simplify right side
    670.18x = 634,356.10
  5. Step 5: Solve for x
    x = 634,356.10/670.18
  6. Step 6: Final answer
    x = 946.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.