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Finding the Fourth Proportional to 582.73, 873.42 and 485.08

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Solution

The fourth proportional to 582.73, 873.42 and 485.08 is: 727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.73 : 873.42 = 485.08 : x
  2. Step 2: Convert to fraction form
    582.73/873.42 = 485.08/x
  3. Step 3: Cross multiply
    582.73x = 873.42 × 485.08
  4. Step 4: Simplify right side
    582.73x = 423,678.57
  5. Step 5: Solve for x
    x = 423,678.57/582.73
  6. Step 6: Final answer
    x = 727.06

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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.