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Finding the Fourth Proportional to 644.16, 888.80 and 469.60

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Solution

The fourth proportional to 644.16, 888.80 and 469.60 is: 647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.16 : 888.80 = 469.60 : x
  2. Step 2: Convert to fraction form
    644.16/888.80 = 469.60/x
  3. Step 3: Cross multiply
    644.16x = 888.80 × 469.60
  4. Step 4: Simplify right side
    644.16x = 417,380.48
  5. Step 5: Solve for x
    x = 417,380.48/644.16
  6. Step 6: Final answer
    x = 647.95

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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.