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Finding the Fourth Proportional to 1,064.42, 1,595.24 and 447.31

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Solution

The fourth proportional to 1,064.42, 1,595.24 and 447.31 is: 670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.42 : 1,595.24 = 447.31 : x
  2. Step 2: Convert to fraction form
    1,064.42/1,595.24 = 447.31/x
  3. Step 3: Cross multiply
    1,064.42x = 1,595.24 × 447.31
  4. Step 4: Simplify right side
    1,064.42x = 713,566.80
  5. Step 5: Solve for x
    x = 713,566.80/1,064.42
  6. Step 6: Final answer
    x = 670.38

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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.