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Finding the Fourth Proportional to 561.10, 845.17 and 510.06

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Solution

The fourth proportional to 561.10, 845.17 and 510.06 is: 768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.10 : 845.17 = 510.06 : x
  2. Step 2: Convert to fraction form
    561.10/845.17 = 510.06/x
  3. Step 3: Cross multiply
    561.10x = 845.17 × 510.06
  4. Step 4: Simplify right side
    561.10x = 431,087.41
  5. Step 5: Solve for x
    x = 431,087.41/561.10
  6. Step 6: Final answer
    x = 768.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.