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Finding the Fourth Proportional to 577.21, 864.86 and 554.74

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Solution

The fourth proportional to 577.21, 864.86 and 554.74 is: 831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.21 : 864.86 = 554.74 : x
  2. Step 2: Convert to fraction form
    577.21/864.86 = 554.74/x
  3. Step 3: Cross multiply
    577.21x = 864.86 × 554.74
  4. Step 4: Simplify right side
    577.21x = 479,772.44
  5. Step 5: Solve for x
    x = 479,772.44/577.21
  6. Step 6: Final answer
    x = 831.19

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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.