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Finding the Fourth Proportional to 644.05, 888.51 and 434.08

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Solution

The fourth proportional to 644.05, 888.51 and 434.08 is: 598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.05 : 888.51 = 434.08 : x
  2. Step 2: Convert to fraction form
    644.05/888.51 = 434.08/x
  3. Step 3: Cross multiply
    644.05x = 888.51 × 434.08
  4. Step 4: Simplify right side
    644.05x = 385,684.42
  5. Step 5: Solve for x
    x = 385,684.42/644.05
  6. Step 6: Final answer
    x = 598.84

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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.