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Finding the Fourth Proportional to 589.18, 877.36 and 582.72

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Solution

The fourth proportional to 589.18, 877.36 and 582.72 is: 867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.18 : 877.36 = 582.72 : x
  2. Step 2: Convert to fraction form
    589.18/877.36 = 582.72/x
  3. Step 3: Cross multiply
    589.18x = 877.36 × 582.72
  4. Step 4: Simplify right side
    589.18x = 511,255.22
  5. Step 5: Solve for x
    x = 511,255.22/589.18
  6. Step 6: Final answer
    x = 867.74

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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.