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Finding the Fourth Proportional to 577.00, 864.98 and 211.53

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Solution

The fourth proportional to 577.00, 864.98 and 211.53 is: 317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.00 : 864.98 = 211.53 : x
  2. Step 2: Convert to fraction form
    577.00/864.98 = 211.53/x
  3. Step 3: Cross multiply
    577.00x = 864.98 × 211.53
  4. Step 4: Simplify right side
    577.00x = 182,973.39
  5. Step 5: Solve for x
    x = 182,973.39/577.00
  6. Step 6: Final answer
    x = 317.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.