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Finding the Fourth Proportional to 511.67, 705.14 and 364.04

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Solution

The fourth proportional to 511.67, 705.14 and 364.04 is: 501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.67 : 705.14 = 364.04 : x
  2. Step 2: Convert to fraction form
    511.67/705.14 = 364.04/x
  3. Step 3: Cross multiply
    511.67x = 705.14 × 364.04
  4. Step 4: Simplify right side
    511.67x = 256,701.03
  5. Step 5: Solve for x
    x = 256,701.03/511.67
  6. Step 6: Final answer
    x = 501.70

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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.