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Finding the Fourth Proportional to 596.30, 889.55 and 559.85

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Solution

The fourth proportional to 596.30, 889.55 and 559.85 is: 835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.30 : 889.55 = 559.85 : x
  2. Step 2: Convert to fraction form
    596.30/889.55 = 559.85/x
  3. Step 3: Cross multiply
    596.30x = 889.55 × 559.85
  4. Step 4: Simplify right side
    596.30x = 498,009.42
  5. Step 5: Solve for x
    x = 498,009.42/596.30
  6. Step 6: Final answer
    x = 835.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.