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Finding the Fourth Proportional to 584.65, 880.99 and 484.20

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Solution

The fourth proportional to 584.65, 880.99 and 484.20 is: 729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.65 : 880.99 = 484.20 : x
  2. Step 2: Convert to fraction form
    584.65/880.99 = 484.20/x
  3. Step 3: Cross multiply
    584.65x = 880.99 × 484.20
  4. Step 4: Simplify right side
    584.65x = 426,575.36
  5. Step 5: Solve for x
    x = 426,575.36/584.65
  6. Step 6: Final answer
    x = 729.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.