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Finding the Fourth Proportional to 561.84, 838.15 and 522.56

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Solution

The fourth proportional to 561.84, 838.15 and 522.56 is: 779.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.84 : 838.15 = 522.56 : x
  2. Step 2: Convert to fraction form
    561.84/838.15 = 522.56/x
  3. Step 3: Cross multiply
    561.84x = 838.15 × 522.56
  4. Step 4: Simplify right side
    561.84x = 437,983.66
  5. Step 5: Solve for x
    x = 437,983.66/561.84
  6. Step 6: Final answer
    x = 779.55

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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.