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Finding the Fourth Proportional to 411.18, 613.76 and 403.98

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Solution

The fourth proportional to 411.18, 613.76 and 403.98 is: 603.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.18 : 613.76 = 403.98 : x
  2. Step 2: Convert to fraction form
    411.18/613.76 = 403.98/x
  3. Step 3: Cross multiply
    411.18x = 613.76 × 403.98
  4. Step 4: Simplify right side
    411.18x = 247,944.74
  5. Step 5: Solve for x
    x = 247,944.74/411.18
  6. Step 6: Final answer
    x = 603.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.