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Finding the Fourth Proportional to 494.61, 740.83 and 397.77

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Solution

The fourth proportional to 494.61, 740.83 and 397.77 is: 595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.61 : 740.83 = 397.77 : x
  2. Step 2: Convert to fraction form
    494.61/740.83 = 397.77/x
  3. Step 3: Cross multiply
    494.61x = 740.83 × 397.77
  4. Step 4: Simplify right side
    494.61x = 294,679.95
  5. Step 5: Solve for x
    x = 294,679.95/494.61
  6. Step 6: Final answer
    x = 595.78

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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.