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Finding the Fourth Proportional to 670.98, 1,006.61 and 238.13

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Solution

The fourth proportional to 670.98, 1,006.61 and 238.13 is: 357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.98 : 1,006.61 = 238.13 : x
  2. Step 2: Convert to fraction form
    670.98/1,006.61 = 238.13/x
  3. Step 3: Cross multiply
    670.98x = 1,006.61 × 238.13
  4. Step 4: Simplify right side
    670.98x = 239,697.82
  5. Step 5: Solve for x
    x = 239,697.82/670.98
  6. Step 6: Final answer
    x = 357.24

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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.