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Finding the Fourth Proportional to 561.91, 841.43 and 512.95

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Solution

The fourth proportional to 561.91, 841.43 and 512.95 is: 768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.91 : 841.43 = 512.95 : x
  2. Step 2: Convert to fraction form
    561.91/841.43 = 512.95/x
  3. Step 3: Cross multiply
    561.91x = 841.43 × 512.95
  4. Step 4: Simplify right side
    561.91x = 431,608.95
  5. Step 5: Solve for x
    x = 431,608.95/561.91
  6. Step 6: Final answer
    x = 768.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.