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Finding the Fourth Proportional to 511.18, 705.61 and 400.21

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Solution

The fourth proportional to 511.18, 705.61 and 400.21 is: 552.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.18 : 705.61 = 400.21 : x
  2. Step 2: Convert to fraction form
    511.18/705.61 = 400.21/x
  3. Step 3: Cross multiply
    511.18x = 705.61 × 400.21
  4. Step 4: Simplify right side
    511.18x = 282,390.91
  5. Step 5: Solve for x
    x = 282,390.91/511.18
  6. Step 6: Final answer
    x = 552.43

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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.