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Finding the Fourth Proportional to 556.58, 763.97 and 493.02

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Solution

The fourth proportional to 556.58, 763.97 and 493.02 is: 676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.58 : 763.97 = 493.02 : x
  2. Step 2: Convert to fraction form
    556.58/763.97 = 493.02/x
  3. Step 3: Cross multiply
    556.58x = 763.97 × 493.02
  4. Step 4: Simplify right side
    556.58x = 376,650.02
  5. Step 5: Solve for x
    x = 376,650.02/556.58
  6. Step 6: Final answer
    x = 676.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.