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Finding the Fourth Proportional to 632.66, 949.28 and 577.98

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Solution

The fourth proportional to 632.66, 949.28 and 577.98 is: 867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.66 : 949.28 = 577.98 : x
  2. Step 2: Convert to fraction form
    632.66/949.28 = 577.98/x
  3. Step 3: Cross multiply
    632.66x = 949.28 × 577.98
  4. Step 4: Simplify right side
    632.66x = 548,661.96
  5. Step 5: Solve for x
    x = 548,661.96/632.66
  6. Step 6: Final answer
    x = 867.24

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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.