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Finding the Fourth Proportional to 511.51, 766.28 and 315.94

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Solution

The fourth proportional to 511.51, 766.28 and 315.94 is: 473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.51 : 766.28 = 315.94 : x
  2. Step 2: Convert to fraction form
    511.51/766.28 = 315.94/x
  3. Step 3: Cross multiply
    511.51x = 766.28 × 315.94
  4. Step 4: Simplify right side
    511.51x = 242,098.50
  5. Step 5: Solve for x
    x = 242,098.50/511.51
  6. Step 6: Final answer
    x = 473.30

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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.