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Finding the Fourth Proportional to 584.58, 874.28 and 520.03

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Solution

The fourth proportional to 584.58, 874.28 and 520.03 is: 777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.58 : 874.28 = 520.03 : x
  2. Step 2: Convert to fraction form
    584.58/874.28 = 520.03/x
  3. Step 3: Cross multiply
    584.58x = 874.28 × 520.03
  4. Step 4: Simplify right side
    584.58x = 454,651.83
  5. Step 5: Solve for x
    x = 454,651.83/584.58
  6. Step 6: Final answer
    x = 777.74

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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.