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Finding the Fourth Proportional to 706.85, 1,054.54 and 673.78

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Solution

The fourth proportional to 706.85, 1,054.54 and 673.78 is: 1,005.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.85 : 1,054.54 = 673.78 : x
  2. Step 2: Convert to fraction form
    706.85/1,054.54 = 673.78/x
  3. Step 3: Cross multiply
    706.85x = 1,054.54 × 673.78
  4. Step 4: Simplify right side
    706.85x = 710,534.86
  5. Step 5: Solve for x
    x = 710,534.86/706.85
  6. Step 6: Final answer
    x = 1,005.22

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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.