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Finding the Fourth Proportional to 561.43, 840.93 and 452.68

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Solution

The fourth proportional to 561.43, 840.93 and 452.68 is: 678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.43 : 840.93 = 452.68 : x
  2. Step 2: Convert to fraction form
    561.43/840.93 = 452.68/x
  3. Step 3: Cross multiply
    561.43x = 840.93 × 452.68
  4. Step 4: Simplify right side
    561.43x = 380,672.19
  5. Step 5: Solve for x
    x = 380,672.19/561.43
  6. Step 6: Final answer
    x = 678.04

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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.