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Finding the Fourth Proportional to 559.71, 835.57 and 522.65

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Solution

The fourth proportional to 559.71, 835.57 and 522.65 is: 780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.71 : 835.57 = 522.65 : x
  2. Step 2: Convert to fraction form
    559.71/835.57 = 522.65/x
  3. Step 3: Cross multiply
    559.71x = 835.57 × 522.65
  4. Step 4: Simplify right side
    559.71x = 436,713.40
  5. Step 5: Solve for x
    x = 436,713.40/559.71
  6. Step 6: Final answer
    x = 780.25

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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.