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Finding the Fourth Proportional to 644.09, 965.39 and 400.77

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Solution

The fourth proportional to 644.09, 965.39 and 400.77 is: 600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.09 : 965.39 = 400.77 : x
  2. Step 2: Convert to fraction form
    644.09/965.39 = 400.77/x
  3. Step 3: Cross multiply
    644.09x = 965.39 × 400.77
  4. Step 4: Simplify right side
    644.09x = 386,897.35
  5. Step 5: Solve for x
    x = 386,897.35/644.09
  6. Step 6: Final answer
    x = 600.69

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1.5x scale

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.