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Finding the Fourth Proportional to 522.89, 779.34 and 493.70

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Solution

The fourth proportional to 522.89, 779.34 and 493.70 is: 735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.89 : 779.34 = 493.70 : x
  2. Step 2: Convert to fraction form
    522.89/779.34 = 493.70/x
  3. Step 3: Cross multiply
    522.89x = 779.34 × 493.70
  4. Step 4: Simplify right side
    522.89x = 384,756.26
  5. Step 5: Solve for x
    x = 384,756.26/522.89
  6. Step 6: Final answer
    x = 735.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.