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Finding the Fourth Proportional to 1,300.69, 1,950.43 and 478.96

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Solution

The fourth proportional to 1,300.69, 1,950.43 and 478.96 is: 718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.69 : 1,950.43 = 478.96 : x
  2. Step 2: Convert to fraction form
    1,300.69/1,950.43 = 478.96/x
  3. Step 3: Cross multiply
    1,300.69x = 1,950.43 × 478.96
  4. Step 4: Simplify right side
    1,300.69x = 934,177.95
  5. Step 5: Solve for x
    x = 934,177.95/1,300.69
  6. Step 6: Final answer
    x = 718.22

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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.