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Finding the Fourth Proportional to 522.95, 780.59 and 484.92

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Solution

The fourth proportional to 522.95, 780.59 and 484.92 is: 723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.95 : 780.59 = 484.92 : x
  2. Step 2: Convert to fraction form
    522.95/780.59 = 484.92/x
  3. Step 3: Cross multiply
    522.95x = 780.59 × 484.92
  4. Step 4: Simplify right side
    522.95x = 378,524.92
  5. Step 5: Solve for x
    x = 378,524.92/522.95
  6. Step 6: Final answer
    x = 723.83

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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.