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Finding the Fourth Proportional to 459.52, 686.09 and 413.45

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Solution

The fourth proportional to 459.52, 686.09 and 413.45 is: 617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.52 : 686.09 = 413.45 : x
  2. Step 2: Convert to fraction form
    459.52/686.09 = 413.45/x
  3. Step 3: Cross multiply
    459.52x = 686.09 × 413.45
  4. Step 4: Simplify right side
    459.52x = 283,664.09
  5. Step 5: Solve for x
    x = 283,664.09/459.52
  6. Step 6: Final answer
    x = 617.31

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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.