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Finding the Fourth Proportional to 582.94, 873.70 and 408.66

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Solution

The fourth proportional to 582.94, 873.70 and 408.66 is: 612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.94 : 873.70 = 408.66 : x
  2. Step 2: Convert to fraction form
    582.94/873.70 = 408.66/x
  3. Step 3: Cross multiply
    582.94x = 873.70 × 408.66
  4. Step 4: Simplify right side
    582.94x = 357,046.24
  5. Step 5: Solve for x
    x = 357,046.24/582.94
  6. Step 6: Final answer
    x = 612.49

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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.