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Finding the Fourth Proportional to 1,610.35, 2,416.44 and 959.72

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Solution

The fourth proportional to 1,610.35, 2,416.44 and 959.72 is: 1,440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.35 : 2,416.44 = 959.72 : x
  2. Step 2: Convert to fraction form
    1,610.35/2,416.44 = 959.72/x
  3. Step 3: Cross multiply
    1,610.35x = 2,416.44 × 959.72
  4. Step 4: Simplify right side
    1,610.35x = 2,319,102.78
  5. Step 5: Solve for x
    x = 2,319,102.78/1,610.35
  6. Step 6: Final answer
    x = 1,440.12

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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.