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Finding the Fourth Proportional to 1,235.64, 1,706.22 and 1,029.72

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Solution

The fourth proportional to 1,235.64, 1,706.22 and 1,029.72 is: 1,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.64 : 1,706.22 = 1,029.72 : x
  2. Step 2: Convert to fraction form
    1,235.64/1,706.22 = 1,029.72/x
  3. Step 3: Cross multiply
    1,235.64x = 1,706.22 × 1,029.72
  4. Step 4: Simplify right side
    1,235.64x = 1,756,928.86
  5. Step 5: Solve for x
    x = 1,756,928.86/1,235.64
  6. Step 6: Final answer
    x = 1,421.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.