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Finding the Fourth Proportional to 675.15, 1,010.70 and 401.10

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Solution

The fourth proportional to 675.15, 1,010.70 and 401.10 is: 600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.15 : 1,010.70 = 401.10 : x
  2. Step 2: Convert to fraction form
    675.15/1,010.70 = 401.10/x
  3. Step 3: Cross multiply
    675.15x = 1,010.70 × 401.10
  4. Step 4: Simplify right side
    675.15x = 405,391.77
  5. Step 5: Solve for x
    x = 405,391.77/675.15
  6. Step 6: Final answer
    x = 600.45

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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.