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Finding the Fourth Proportional to 644.22, 888.70 and 407.77

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Solution

The fourth proportional to 644.22, 888.70 and 407.77 is: 562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.22 : 888.70 = 407.77 : x
  2. Step 2: Convert to fraction form
    644.22/888.70 = 407.77/x
  3. Step 3: Cross multiply
    644.22x = 888.70 × 407.77
  4. Step 4: Simplify right side
    644.22x = 362,381.96
  5. Step 5: Solve for x
    x = 362,381.96/644.22
  6. Step 6: Final answer
    x = 562.51

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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.