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Finding the Fourth Proportional to 584.59, 877.32 and 276.54

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Solution

The fourth proportional to 584.59, 877.32 and 276.54 is: 415.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.59 : 877.32 = 276.54 : x
  2. Step 2: Convert to fraction form
    584.59/877.32 = 276.54/x
  3. Step 3: Cross multiply
    584.59x = 877.32 × 276.54
  4. Step 4: Simplify right side
    584.59x = 242,612.43
  5. Step 5: Solve for x
    x = 242,612.43/584.59
  6. Step 6: Final answer
    x = 415.01

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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.