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Finding the Fourth Proportional to 583.34, 872.42 and 522.05

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Solution

The fourth proportional to 583.34, 872.42 and 522.05 is: 780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.34 : 872.42 = 522.05 : x
  2. Step 2: Convert to fraction form
    583.34/872.42 = 522.05/x
  3. Step 3: Cross multiply
    583.34x = 872.42 × 522.05
  4. Step 4: Simplify right side
    583.34x = 455,439.89
  5. Step 5: Solve for x
    x = 455,439.89/583.34
  6. Step 6: Final answer
    x = 780.75

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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.