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Finding the Fourth Proportional to 588.28, 811.47 and 413.32

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Solution

The fourth proportional to 588.28, 811.47 and 413.32 is: 570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.28 : 811.47 = 413.32 : x
  2. Step 2: Convert to fraction form
    588.28/811.47 = 413.32/x
  3. Step 3: Cross multiply
    588.28x = 811.47 × 413.32
  4. Step 4: Simplify right side
    588.28x = 335,396.78
  5. Step 5: Solve for x
    x = 335,396.78/588.28
  6. Step 6: Final answer
    x = 570.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.