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Finding the Fourth Proportional to 1,209.16, 1,813.60 and 478.27

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Solution

The fourth proportional to 1,209.16, 1,813.60 and 478.27 is: 717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.16 : 1,813.60 = 478.27 : x
  2. Step 2: Convert to fraction form
    1,209.16/1,813.60 = 478.27/x
  3. Step 3: Cross multiply
    1,209.16x = 1,813.60 × 478.27
  4. Step 4: Simplify right side
    1,209.16x = 867,390.47
  5. Step 5: Solve for x
    x = 867,390.47/1,209.16
  6. Step 6: Final answer
    x = 717.35

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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.