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Finding the Fourth Proportional to 522.70, 785.15 and 441.70

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Solution

The fourth proportional to 522.70, 785.15 and 441.70 is: 663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.70 : 785.15 = 441.70 : x
  2. Step 2: Convert to fraction form
    522.70/785.15 = 441.70/x
  3. Step 3: Cross multiply
    522.70x = 785.15 × 441.70
  4. Step 4: Simplify right side
    522.70x = 346,800.76
  5. Step 5: Solve for x
    x = 346,800.76/522.70
  6. Step 6: Final answer
    x = 663.48

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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.