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Finding the Fourth Proportional to 644.84, 891.51 and 497.96

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Solution

The fourth proportional to 644.84, 891.51 and 497.96 is: 688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.84 : 891.51 = 497.96 : x
  2. Step 2: Convert to fraction form
    644.84/891.51 = 497.96/x
  3. Step 3: Cross multiply
    644.84x = 891.51 × 497.96
  4. Step 4: Simplify right side
    644.84x = 443,936.32
  5. Step 5: Solve for x
    x = 443,936.32/644.84
  6. Step 6: Final answer
    x = 688.44

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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.