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Finding the Fourth Proportional to 670.06, 1,005.90 and 397.90

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Solution

The fourth proportional to 670.06, 1,005.90 and 397.90 is: 597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.06 : 1,005.90 = 397.90 : x
  2. Step 2: Convert to fraction form
    670.06/1,005.90 = 397.90/x
  3. Step 3: Cross multiply
    670.06x = 1,005.90 × 397.90
  4. Step 4: Simplify right side
    670.06x = 400,247.61
  5. Step 5: Solve for x
    x = 400,247.61/670.06
  6. Step 6: Final answer
    x = 597.33

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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.