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Finding the Fourth Proportional to 522.91, 780.87 and 492.53

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Solution

The fourth proportional to 522.91, 780.87 and 492.53 is: 735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.91 : 780.87 = 492.53 : x
  2. Step 2: Convert to fraction form
    522.91/780.87 = 492.53/x
  3. Step 3: Cross multiply
    522.91x = 780.87 × 492.53
  4. Step 4: Simplify right side
    522.91x = 384,599.44
  5. Step 5: Solve for x
    x = 384,599.44/522.91
  6. Step 6: Final answer
    x = 735.51

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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.