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Finding the Fourth Proportional to 670.19, 1,003.91 and 395.45

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Solution

The fourth proportional to 670.19, 1,003.91 and 395.45 is: 592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.19 : 1,003.91 = 395.45 : x
  2. Step 2: Convert to fraction form
    670.19/1,003.91 = 395.45/x
  3. Step 3: Cross multiply
    670.19x = 1,003.91 × 395.45
  4. Step 4: Simplify right side
    670.19x = 396,996.21
  5. Step 5: Solve for x
    x = 396,996.21/670.19
  6. Step 6: Final answer
    x = 592.36

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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.