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Finding the Fourth Proportional to 935.90, 1,401.69 and 610.46

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Solution

The fourth proportional to 935.90, 1,401.69 and 610.46 is: 914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.90 : 1,401.69 = 610.46 : x
  2. Step 2: Convert to fraction form
    935.90/1,401.69 = 610.46/x
  3. Step 3: Cross multiply
    935.90x = 1,401.69 × 610.46
  4. Step 4: Simplify right side
    935.90x = 855,675.68
  5. Step 5: Solve for x
    x = 855,675.68/935.90
  6. Step 6: Final answer
    x = 914.28

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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.