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Finding the Fourth Proportional to 742.92, 1,106.53 and 703.88

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Solution

The fourth proportional to 742.92, 1,106.53 and 703.88 is: 1,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.92 : 1,106.53 = 703.88 : x
  2. Step 2: Convert to fraction form
    742.92/1,106.53 = 703.88/x
  3. Step 3: Cross multiply
    742.92x = 1,106.53 × 703.88
  4. Step 4: Simplify right side
    742.92x = 778,863.58
  5. Step 5: Solve for x
    x = 778,863.58/742.92
  6. Step 6: Final answer
    x = 1,048.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.