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Finding the Fourth Proportional to 488.84, 731.88 and 358.43

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Solution

The fourth proportional to 488.84, 731.88 and 358.43 is: 536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.84 : 731.88 = 358.43 : x
  2. Step 2: Convert to fraction form
    488.84/731.88 = 358.43/x
  3. Step 3: Cross multiply
    488.84x = 731.88 × 358.43
  4. Step 4: Simplify right side
    488.84x = 262,324.09
  5. Step 5: Solve for x
    x = 262,324.09/488.84
  6. Step 6: Final answer
    x = 536.63

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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.