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Finding the Fourth Proportional to 584.75, 872.59 and 506.99

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Solution

The fourth proportional to 584.75, 872.59 and 506.99 is: 756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.75 : 872.59 = 506.99 : x
  2. Step 2: Convert to fraction form
    584.75/872.59 = 506.99/x
  3. Step 3: Cross multiply
    584.75x = 872.59 × 506.99
  4. Step 4: Simplify right side
    584.75x = 442,394.40
  5. Step 5: Solve for x
    x = 442,394.40/584.75
  6. Step 6: Final answer
    x = 756.55

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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.