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Finding the Fourth Proportional to 1,453.15, 2,180.05 and 479.19

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Solution

The fourth proportional to 1,453.15, 2,180.05 and 479.19 is: 718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.15 : 2,180.05 = 479.19 : x
  2. Step 2: Convert to fraction form
    1,453.15/2,180.05 = 479.19/x
  3. Step 3: Cross multiply
    1,453.15x = 2,180.05 × 479.19
  4. Step 4: Simplify right side
    1,453.15x = 1,044,658.16
  5. Step 5: Solve for x
    x = 1,044,658.16/1,453.15
  6. Step 6: Final answer
    x = 718.89

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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.