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Finding the Fourth Proportional to 1,478.25, 2,217.60 and 553.94

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Solution

The fourth proportional to 1,478.25, 2,217.60 and 553.94 is: 830.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.25 : 2,217.60 = 553.94 : x
  2. Step 2: Convert to fraction form
    1,478.25/2,217.60 = 553.94/x
  3. Step 3: Cross multiply
    1,478.25x = 2,217.60 × 553.94
  4. Step 4: Simplify right side
    1,478.25x = 1,228,416.13
  5. Step 5: Solve for x
    x = 1,228,416.13/1,478.25
  6. Step 6: Final answer
    x = 830.99

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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.