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Finding the Fourth Proportional to 1,410.67, 2,116.52 and 630.61

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Solution

The fourth proportional to 1,410.67, 2,116.52 and 630.61 is: 946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.67 : 2,116.52 = 630.61 : x
  2. Step 2: Convert to fraction form
    1,410.67/2,116.52 = 630.61/x
  3. Step 3: Cross multiply
    1,410.67x = 2,116.52 × 630.61
  4. Step 4: Simplify right side
    1,410.67x = 1,334,698.68
  5. Step 5: Solve for x
    x = 1,334,698.68/1,410.67
  6. Step 6: Final answer
    x = 946.15

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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.