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Finding the Fourth Proportional to 1,478.39, 2,217.49 and 504.47

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Solution

The fourth proportional to 1,478.39, 2,217.49 and 504.47 is: 756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.39 : 2,217.49 = 504.47 : x
  2. Step 2: Convert to fraction form
    1,478.39/2,217.49 = 504.47/x
  3. Step 3: Cross multiply
    1,478.39x = 2,217.49 × 504.47
  4. Step 4: Simplify right side
    1,478.39x = 1,118,661.46
  5. Step 5: Solve for x
    x = 1,118,661.46/1,478.39
  6. Step 6: Final answer
    x = 756.67

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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.