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Finding the Fourth Proportional to 407.80, 612.90 and 403.48

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Solution

The fourth proportional to 407.80, 612.90 and 403.48 is: 606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.80 : 612.90 = 403.48 : x
  2. Step 2: Convert to fraction form
    407.80/612.90 = 403.48/x
  3. Step 3: Cross multiply
    407.80x = 612.90 × 403.48
  4. Step 4: Simplify right side
    407.80x = 247,292.89
  5. Step 5: Solve for x
    x = 247,292.89/407.80
  6. Step 6: Final answer
    x = 606.41

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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.