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Finding the Fourth Proportional to 612.50, 839.84 and 594.27

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Solution

The fourth proportional to 612.50, 839.84 and 594.27 is: 814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.50 : 839.84 = 594.27 : x
  2. Step 2: Convert to fraction form
    612.50/839.84 = 594.27/x
  3. Step 3: Cross multiply
    612.50x = 839.84 × 594.27
  4. Step 4: Simplify right side
    612.50x = 499,088.75
  5. Step 5: Solve for x
    x = 499,088.75/612.50
  6. Step 6: Final answer
    x = 814.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.