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Finding the Fourth Proportional to 610.74, 842.08 and 505.94

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Solution

The fourth proportional to 610.74, 842.08 and 505.94 is: 697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.74 : 842.08 = 505.94 : x
  2. Step 2: Convert to fraction form
    610.74/842.08 = 505.94/x
  3. Step 3: Cross multiply
    610.74x = 842.08 × 505.94
  4. Step 4: Simplify right side
    610.74x = 426,039.43
  5. Step 5: Solve for x
    x = 426,039.43/610.74
  6. Step 6: Final answer
    x = 697.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.