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Finding the Fourth Proportional to 1,055, 1,580.78 and 644.42

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Solution

The fourth proportional to 1,055, 1,580.78 and 644.42 is: 965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055 : 1,580.78 = 644.42 : x
  2. Step 2: Convert to fraction form
    1,055/1,580.78 = 644.42/x
  3. Step 3: Cross multiply
    1,055x = 1,580.78 × 644.42
  4. Step 4: Simplify right side
    1,055x = 1,018,686.25
  5. Step 5: Solve for x
    x = 1,018,686.25/1,055
  6. Step 6: Final answer
    x = 965.58

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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.