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Finding the Fourth Proportional to 647.80, 894.18 and 411.91

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Solution

The fourth proportional to 647.80, 894.18 and 411.91 is: 568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.80 : 894.18 = 411.91 : x
  2. Step 2: Convert to fraction form
    647.80/894.18 = 411.91/x
  3. Step 3: Cross multiply
    647.80x = 894.18 × 411.91
  4. Step 4: Simplify right side
    647.80x = 368,321.68
  5. Step 5: Solve for x
    x = 368,321.68/647.80
  6. Step 6: Final answer
    x = 568.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.