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Finding the Fourth Proportional to 1,064.63, 1,594.27 and 673.45

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Solution

The fourth proportional to 1,064.63, 1,594.27 and 673.45 is: 1,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.63 : 1,594.27 = 673.45 : x
  2. Step 2: Convert to fraction form
    1,064.63/1,594.27 = 673.45/x
  3. Step 3: Cross multiply
    1,064.63x = 1,594.27 × 673.45
  4. Step 4: Simplify right side
    1,064.63x = 1,073,654.20
  5. Step 5: Solve for x
    x = 1,073,654.20/1,064.63
  6. Step 6: Final answer
    x = 1,008.48

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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.