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Finding the Fourth Proportional to 1,969.30, 2,953.95 and 488.53

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Solution

The fourth proportional to 1,969.30, 2,953.95 and 488.53 is: 732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.30 : 2,953.95 = 488.53 : x
  2. Step 2: Convert to fraction form
    1,969.30/2,953.95 = 488.53/x
  3. Step 3: Cross multiply
    1,969.30x = 2,953.95 × 488.53
  4. Step 4: Simplify right side
    1,969.30x = 1,443,093.19
  5. Step 5: Solve for x
    x = 1,443,093.19/1,969.30
  6. Step 6: Final answer
    x = 732.80

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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.