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Finding the Fourth Proportional to 522.83, 780.02 and 483.62

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Solution

The fourth proportional to 522.83, 780.02 and 483.62 is: 721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.83 : 780.02 = 483.62 : x
  2. Step 2: Convert to fraction form
    522.83/780.02 = 483.62/x
  3. Step 3: Cross multiply
    522.83x = 780.02 × 483.62
  4. Step 4: Simplify right side
    522.83x = 377,229.24
  5. Step 5: Solve for x
    x = 377,229.24/522.83
  6. Step 6: Final answer
    x = 721.51

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