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Finding the Fourth Proportional to 584.19, 873.99 and 437.85

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Solution

The fourth proportional to 584.19, 873.99 and 437.85 is: 655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.19 : 873.99 = 437.85 : x
  2. Step 2: Convert to fraction form
    584.19/873.99 = 437.85/x
  3. Step 3: Cross multiply
    584.19x = 873.99 × 437.85
  4. Step 4: Simplify right side
    584.19x = 382,676.52
  5. Step 5: Solve for x
    x = 382,676.52/584.19
  6. Step 6: Final answer
    x = 655.05

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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.