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Finding the Fourth Proportional to 644.17, 888.55 and 382

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Solution

The fourth proportional to 644.17, 888.55 and 382 is: 526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.17 : 888.55 = 382 : x
  2. Step 2: Convert to fraction form
    644.17/888.55 = 382/x
  3. Step 3: Cross multiply
    644.17x = 888.55 × 382
  4. Step 4: Simplify right side
    644.17x = 339,426.10
  5. Step 5: Solve for x
    x = 339,426.10/644.17
  6. Step 6: Final answer
    x = 526.92

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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.