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Finding the Fourth Proportional to 1,300.02, 1,949.72 and 478.36

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Solution

The fourth proportional to 1,300.02, 1,949.72 and 478.36 is: 717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.02 : 1,949.72 = 478.36 : x
  2. Step 2: Convert to fraction form
    1,300.02/1,949.72 = 478.36/x
  3. Step 3: Cross multiply
    1,300.02x = 1,949.72 × 478.36
  4. Step 4: Simplify right side
    1,300.02x = 932,668.06
  5. Step 5: Solve for x
    x = 932,668.06/1,300.02
  6. Step 6: Final answer
    x = 717.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.