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Finding the Fourth Proportional to 658.84, 988.44 and 312.16

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Solution

The fourth proportional to 658.84, 988.44 and 312.16 is: 468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.84 : 988.44 = 312.16 : x
  2. Step 2: Convert to fraction form
    658.84/988.44 = 312.16/x
  3. Step 3: Cross multiply
    658.84x = 988.44 × 312.16
  4. Step 4: Simplify right side
    658.84x = 308,551.43
  5. Step 5: Solve for x
    x = 308,551.43/658.84
  6. Step 6: Final answer
    x = 468.33

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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.