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Finding the Fourth Proportional to 978.16, 1,467.26 and 328.90

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Solution

The fourth proportional to 978.16, 1,467.26 and 328.90 is: 493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.16 : 1,467.26 = 328.90 : x
  2. Step 2: Convert to fraction form
    978.16/1,467.26 = 328.90/x
  3. Step 3: Cross multiply
    978.16x = 1,467.26 × 328.90
  4. Step 4: Simplify right side
    978.16x = 482,581.81
  5. Step 5: Solve for x
    x = 482,581.81/978.16
  6. Step 6: Final answer
    x = 493.36

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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.