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Finding the Fourth Proportional to 488.90, 736.17 and 407.36

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Solution

The fourth proportional to 488.90, 736.17 and 407.36 is: 613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.90 : 736.17 = 407.36 : x
  2. Step 2: Convert to fraction form
    488.90/736.17 = 407.36/x
  3. Step 3: Cross multiply
    488.90x = 736.17 × 407.36
  4. Step 4: Simplify right side
    488.90x = 299,882.53
  5. Step 5: Solve for x
    x = 299,882.53/488.90
  6. Step 6: Final answer
    x = 613.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.