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Finding the Fourth Proportional to 483.99, 728.90 and 407.45

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Solution

The fourth proportional to 483.99, 728.90 and 407.45 is: 613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.99 : 728.90 = 407.45 : x
  2. Step 2: Convert to fraction form
    483.99/728.90 = 407.45/x
  3. Step 3: Cross multiply
    483.99x = 728.90 × 407.45
  4. Step 4: Simplify right side
    483.99x = 296,984.62
  5. Step 5: Solve for x
    x = 296,984.62/483.99
  6. Step 6: Final answer
    x = 613.62

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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.