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Finding the Fourth Proportional to 1,300.98, 1,949.71 and 478.48

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Solution

The fourth proportional to 1,300.98, 1,949.71 and 478.48 is: 717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.98 : 1,949.71 = 478.48 : x
  2. Step 2: Convert to fraction form
    1,300.98/1,949.71 = 478.48/x
  3. Step 3: Cross multiply
    1,300.98x = 1,949.71 × 478.48
  4. Step 4: Simplify right side
    1,300.98x = 932,897.24
  5. Step 5: Solve for x
    x = 932,897.24/1,300.98
  6. Step 6: Final answer
    x = 717.07

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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.