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Finding the Fourth Proportional to 632.84, 873.30 and 353.08

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Solution

The fourth proportional to 632.84, 873.30 and 353.08 is: 487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.84 : 873.30 = 353.08 : x
  2. Step 2: Convert to fraction form
    632.84/873.30 = 353.08/x
  3. Step 3: Cross multiply
    632.84x = 873.30 × 353.08
  4. Step 4: Simplify right side
    632.84x = 308,344.76
  5. Step 5: Solve for x
    x = 308,344.76/632.84
  6. Step 6: Final answer
    x = 487.24

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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.