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Finding the Fourth Proportional to 1,344.61, 2,017.32 and 478.81

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Solution

The fourth proportional to 1,344.61, 2,017.32 and 478.81 is: 718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.61 : 2,017.32 = 478.81 : x
  2. Step 2: Convert to fraction form
    1,344.61/2,017.32 = 478.81/x
  3. Step 3: Cross multiply
    1,344.61x = 2,017.32 × 478.81
  4. Step 4: Simplify right side
    1,344.61x = 965,912.99
  5. Step 5: Solve for x
    x = 965,912.99/1,344.61
  6. Step 6: Final answer
    x = 718.36

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Why These Related Problems?

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