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Finding the Fourth Proportional to 512.42, 766.88 and 317.35

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Solution

The fourth proportional to 512.42, 766.88 and 317.35 is: 474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.42 : 766.88 = 317.35 : x
  2. Step 2: Convert to fraction form
    512.42/766.88 = 317.35/x
  3. Step 3: Cross multiply
    512.42x = 766.88 × 317.35
  4. Step 4: Simplify right side
    512.42x = 243,363.95
  5. Step 5: Solve for x
    x = 243,363.95/512.42
  6. Step 6: Final answer
    x = 474.93

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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.