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Finding the Fourth Proportional to 561.50, 841.70 and 378.94

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Solution

The fourth proportional to 561.50, 841.70 and 378.94 is: 568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.50 : 841.70 = 378.94 : x
  2. Step 2: Convert to fraction form
    561.50/841.70 = 378.94/x
  3. Step 3: Cross multiply
    561.50x = 841.70 × 378.94
  4. Step 4: Simplify right side
    561.50x = 318,953.80
  5. Step 5: Solve for x
    x = 318,953.80/561.50
  6. Step 6: Final answer
    x = 568.04

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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.