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Finding the Fourth Proportional to 459.15, 685.61 and 418.11

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Solution

The fourth proportional to 459.15, 685.61 and 418.11 is: 624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.15 : 685.61 = 418.11 : x
  2. Step 2: Convert to fraction form
    459.15/685.61 = 418.11/x
  3. Step 3: Cross multiply
    459.15x = 685.61 × 418.11
  4. Step 4: Simplify right side
    459.15x = 286,658.31
  5. Step 5: Solve for x
    x = 286,658.31/459.15
  6. Step 6: Final answer
    x = 624.32

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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.