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Finding the Fourth Proportional to 949.12, 1,422.40 and 706.56

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Solution

The fourth proportional to 949.12, 1,422.40 and 706.56 is: 1,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.12 : 1,422.40 = 706.56 : x
  2. Step 2: Convert to fraction form
    949.12/1,422.40 = 706.56/x
  3. Step 3: Cross multiply
    949.12x = 1,422.40 × 706.56
  4. Step 4: Simplify right side
    949.12x = 1,005,010.94
  5. Step 5: Solve for x
    x = 1,005,010.94/949.12
  6. Step 6: Final answer
    x = 1,058.89

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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.