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Finding the Fourth Proportional to 596.40, 889.35 and 549.12

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Solution

The fourth proportional to 596.40, 889.35 and 549.12 is: 818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.40 : 889.35 = 549.12 : x
  2. Step 2: Convert to fraction form
    596.40/889.35 = 549.12/x
  3. Step 3: Cross multiply
    596.40x = 889.35 × 549.12
  4. Step 4: Simplify right side
    596.40x = 488,359.87
  5. Step 5: Solve for x
    x = 488,359.87/596.40
  6. Step 6: Final answer
    x = 818.85

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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.