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Finding the Fourth Proportional to 561.42, 840.96 and 446.04

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Solution

The fourth proportional to 561.42, 840.96 and 446.04 is: 668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.42 : 840.96 = 446.04 : x
  2. Step 2: Convert to fraction form
    561.42/840.96 = 446.04/x
  3. Step 3: Cross multiply
    561.42x = 840.96 × 446.04
  4. Step 4: Simplify right side
    561.42x = 375,101.80
  5. Step 5: Solve for x
    x = 375,101.80/561.42
  6. Step 6: Final answer
    x = 668.13

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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.