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Finding the Fourth Proportional to 1,299.86, 1,950.06 and 478.10

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Solution

The fourth proportional to 1,299.86, 1,950.06 and 478.10 is: 717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.86 : 1,950.06 = 478.10 : x
  2. Step 2: Convert to fraction form
    1,299.86/1,950.06 = 478.10/x
  3. Step 3: Cross multiply
    1,299.86x = 1,950.06 × 478.10
  4. Step 4: Simplify right side
    1,299.86x = 932,323.69
  5. Step 5: Solve for x
    x = 932,323.69/1,299.86
  6. Step 6: Final answer
    x = 717.25

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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.