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Finding the Fourth Proportional to 1,063.40, 1,595.07 and 447.53

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Solution

The fourth proportional to 1,063.40, 1,595.07 and 447.53 is: 671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.40 : 1,595.07 = 447.53 : x
  2. Step 2: Convert to fraction form
    1,063.40/1,595.07 = 447.53/x
  3. Step 3: Cross multiply
    1,063.40x = 1,595.07 × 447.53
  4. Step 4: Simplify right side
    1,063.40x = 713,833.70
  5. Step 5: Solve for x
    x = 713,833.70/1,063.40
  6. Step 6: Final answer
    x = 671.28

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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.