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Finding the Fourth Proportional to 978.49, 1,467.74 and 329.27

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Solution

The fourth proportional to 978.49, 1,467.74 and 329.27 is: 493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.49 : 1,467.74 = 329.27 : x
  2. Step 2: Convert to fraction form
    978.49/1,467.74 = 329.27/x
  3. Step 3: Cross multiply
    978.49x = 1,467.74 × 329.27
  4. Step 4: Simplify right side
    978.49x = 483,284.77
  5. Step 5: Solve for x
    x = 483,284.77/978.49
  6. Step 6: Final answer
    x = 493.91

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1.5x scale

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.