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Finding the Fourth Proportional to 556.29, 766.89 and 398.88

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Solution

The fourth proportional to 556.29, 766.89 and 398.88 is: 549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.29 : 766.89 = 398.88 : x
  2. Step 2: Convert to fraction form
    556.29/766.89 = 398.88/x
  3. Step 3: Cross multiply
    556.29x = 766.89 × 398.88
  4. Step 4: Simplify right side
    556.29x = 305,897.08
  5. Step 5: Solve for x
    x = 305,897.08/556.29
  6. Step 6: Final answer
    x = 549.89

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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.