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Finding the Fourth Proportional to 610.10, 842.40 and 433.77

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Solution

The fourth proportional to 610.10, 842.40 and 433.77 is: 598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.10 : 842.40 = 433.77 : x
  2. Step 2: Convert to fraction form
    610.10/842.40 = 433.77/x
  3. Step 3: Cross multiply
    610.10x = 842.40 × 433.77
  4. Step 4: Simplify right side
    610.10x = 365,407.85
  5. Step 5: Solve for x
    x = 365,407.85/610.10
  6. Step 6: Final answer
    x = 598.94

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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.