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Finding the Fourth Proportional to 584.89, 876.33 and 488.02

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Solution

The fourth proportional to 584.89, 876.33 and 488.02 is: 731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.89 : 876.33 = 488.02 : x
  2. Step 2: Convert to fraction form
    584.89/876.33 = 488.02/x
  3. Step 3: Cross multiply
    584.89x = 876.33 × 488.02
  4. Step 4: Simplify right side
    584.89x = 427,666.57
  5. Step 5: Solve for x
    x = 427,666.57/584.89
  6. Step 6: Final answer
    x = 731.19

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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.