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Finding the Fourth Proportional to 644.25, 889.34 and 457.77

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Solution

The fourth proportional to 644.25, 889.34 and 457.77 is: 631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.25 : 889.34 = 457.77 : x
  2. Step 2: Convert to fraction form
    644.25/889.34 = 457.77/x
  3. Step 3: Cross multiply
    644.25x = 889.34 × 457.77
  4. Step 4: Simplify right side
    644.25x = 407,110.88
  5. Step 5: Solve for x
    x = 407,110.88/644.25
  6. Step 6: Final answer
    x = 631.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.