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Finding the Fourth Proportional to 596.04, 821.79 and 491.55

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Solution

The fourth proportional to 596.04, 821.79 and 491.55 is: 677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.04 : 821.79 = 491.55 : x
  2. Step 2: Convert to fraction form
    596.04/821.79 = 491.55/x
  3. Step 3: Cross multiply
    596.04x = 821.79 × 491.55
  4. Step 4: Simplify right side
    596.04x = 403,950.87
  5. Step 5: Solve for x
    x = 403,950.87/596.04
  6. Step 6: Final answer
    x = 677.72

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1.5x scale

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.