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Finding the Fourth Proportional to 1,300.66, 1,950.84 and 478.72

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Solution

The fourth proportional to 1,300.66, 1,950.84 and 478.72 is: 718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.66 : 1,950.84 = 478.72 : x
  2. Step 2: Convert to fraction form
    1,300.66/1,950.84 = 478.72/x
  3. Step 3: Cross multiply
    1,300.66x = 1,950.84 × 478.72
  4. Step 4: Simplify right side
    1,300.66x = 933,906.12
  5. Step 5: Solve for x
    x = 933,906.12/1,300.66
  6. Step 6: Final answer
    x = 718.02

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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.