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Finding the Fourth Proportional to 981.62, 1,354.47 and 720.26

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Solution

The fourth proportional to 981.62, 1,354.47 and 720.26 is: 993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.62 : 1,354.47 = 720.26 : x
  2. Step 2: Convert to fraction form
    981.62/1,354.47 = 720.26/x
  3. Step 3: Cross multiply
    981.62x = 1,354.47 × 720.26
  4. Step 4: Simplify right side
    981.62x = 975,571.25
  5. Step 5: Solve for x
    x = 975,571.25/981.62
  6. Step 6: Final answer
    x = 993.84

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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.