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Finding the Fourth Proportional to 978.02, 1,466.84 and 328.58

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Solution

The fourth proportional to 978.02, 1,466.84 and 328.58 is: 492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.02 : 1,466.84 = 328.58 : x
  2. Step 2: Convert to fraction form
    978.02/1,466.84 = 328.58/x
  3. Step 3: Cross multiply
    978.02x = 1,466.84 × 328.58
  4. Step 4: Simplify right side
    978.02x = 481,974.29
  5. Step 5: Solve for x
    x = 481,974.29/978.02
  6. Step 6: Final answer
    x = 492.81

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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.