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Finding the Fourth Proportional to 620.04, 926.13 and 522.84

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Solution

The fourth proportional to 620.04, 926.13 and 522.84 is: 780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.04 : 926.13 = 522.84 : x
  2. Step 2: Convert to fraction form
    620.04/926.13 = 522.84/x
  3. Step 3: Cross multiply
    620.04x = 926.13 × 522.84
  4. Step 4: Simplify right side
    620.04x = 484,217.81
  5. Step 5: Solve for x
    x = 484,217.81/620.04
  6. Step 6: Final answer
    x = 780.95

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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.