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Finding the Fourth Proportional to 978.62, 1,465.83 and 484.25

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Solution

The fourth proportional to 978.62, 1,465.83 and 484.25 is: 725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.62 : 1,465.83 = 484.25 : x
  2. Step 2: Convert to fraction form
    978.62/1,465.83 = 484.25/x
  3. Step 3: Cross multiply
    978.62x = 1,465.83 × 484.25
  4. Step 4: Simplify right side
    978.62x = 709,820.85
  5. Step 5: Solve for x
    x = 709,820.85/978.62
  6. Step 6: Final answer
    x = 725.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.