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Finding the Fourth Proportional to 706.36, 1,055.46 and 488.20

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Solution

The fourth proportional to 706.36, 1,055.46 and 488.20 is: 729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.36 : 1,055.46 = 488.20 : x
  2. Step 2: Convert to fraction form
    706.36/1,055.46 = 488.20/x
  3. Step 3: Cross multiply
    706.36x = 1,055.46 × 488.20
  4. Step 4: Simplify right side
    706.36x = 515,275.57
  5. Step 5: Solve for x
    x = 515,275.57/706.36
  6. Step 6: Final answer
    x = 729.48

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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.