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Finding the Fourth Proportional to 582.78, 873.57 and 258.07

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Solution

The fourth proportional to 582.78, 873.57 and 258.07 is: 386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.78 : 873.57 = 258.07 : x
  2. Step 2: Convert to fraction form
    582.78/873.57 = 258.07/x
  3. Step 3: Cross multiply
    582.78x = 873.57 × 258.07
  4. Step 4: Simplify right side
    582.78x = 225,442.21
  5. Step 5: Solve for x
    x = 225,442.21/582.78
  6. Step 6: Final answer
    x = 386.84

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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.