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Finding the Fourth Proportional to 978.63, 1,466.82 and 544.92

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Solution

The fourth proportional to 978.63, 1,466.82 and 544.92 is: 816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.63 : 1,466.82 = 544.92 : x
  2. Step 2: Convert to fraction form
    978.63/1,466.82 = 544.92/x
  3. Step 3: Cross multiply
    978.63x = 1,466.82 × 544.92
  4. Step 4: Simplify right side
    978.63x = 799,299.55
  5. Step 5: Solve for x
    x = 799,299.55/978.63
  6. Step 6: Final answer
    x = 816.75

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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.