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Finding the Fourth Proportional to 1,315.52, 1,973.07 and 449.63

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Solution

The fourth proportional to 1,315.52, 1,973.07 and 449.63 is: 674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.52 : 1,973.07 = 449.63 : x
  2. Step 2: Convert to fraction form
    1,315.52/1,973.07 = 449.63/x
  3. Step 3: Cross multiply
    1,315.52x = 1,973.07 × 449.63
  4. Step 4: Simplify right side
    1,315.52x = 887,141.60
  5. Step 5: Solve for x
    x = 887,141.60/1,315.52
  6. Step 6: Final answer
    x = 674.37

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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.