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Finding the Fourth Proportional to 884.79, 1,220.81 and 590.40

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Solution

The fourth proportional to 884.79, 1,220.81 and 590.40 is: 814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.79 : 1,220.81 = 590.40 : x
  2. Step 2: Convert to fraction form
    884.79/1,220.81 = 590.40/x
  3. Step 3: Cross multiply
    884.79x = 1,220.81 × 590.40
  4. Step 4: Simplify right side
    884.79x = 720,763.27
  5. Step 5: Solve for x
    x = 720,763.27/884.79
  6. Step 6: Final answer
    x = 814.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.