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Finding the Fourth Proportional to 511.42, 705.83 and 312.21

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Solution

The fourth proportional to 511.42, 705.83 and 312.21 is: 430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.42 : 705.83 = 312.21 : x
  2. Step 2: Convert to fraction form
    511.42/705.83 = 312.21/x
  3. Step 3: Cross multiply
    511.42x = 705.83 × 312.21
  4. Step 4: Simplify right side
    511.42x = 220,369.47
  5. Step 5: Solve for x
    x = 220,369.47/511.42
  6. Step 6: Final answer
    x = 430.89

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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.