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Finding the Fourth Proportional to 610.90, 842.16 and 435.94

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Solution

The fourth proportional to 610.90, 842.16 and 435.94 is: 600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.90 : 842.16 = 435.94 : x
  2. Step 2: Convert to fraction form
    610.90/842.16 = 435.94/x
  3. Step 3: Cross multiply
    610.90x = 842.16 × 435.94
  4. Step 4: Simplify right side
    610.90x = 367,130.76
  5. Step 5: Solve for x
    x = 367,130.76/610.90
  6. Step 6: Final answer
    x = 600.97

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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.