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Finding the Fourth Proportional to 522.07, 780.11 and 397.99

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Solution

The fourth proportional to 522.07, 780.11 and 397.99 is: 594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.07 : 780.11 = 397.99 : x
  2. Step 2: Convert to fraction form
    522.07/780.11 = 397.99/x
  3. Step 3: Cross multiply
    522.07x = 780.11 × 397.99
  4. Step 4: Simplify right side
    522.07x = 310,475.98
  5. Step 5: Solve for x
    x = 310,475.98/522.07
  6. Step 6: Final answer
    x = 594.70

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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.